3 angles in a triangle are x, 2x and (x - 32) degrees - what are the actual angles in degrees?

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[@Ayelmar]

Solved at the thumbnail, the answer is b) 53, 106, 21. Since the angles of any triangle sum to 180, and given the three angles are x, 2x, and x-32, let's write the equation as follows: 0) X + 2x + (x-32) = 180 -- starting positition 1) 4x - 32 = 180 -- combine terms 2) 4x = 180 + 32 -- add 32 to both sides 3) 4x = 212 -- (continued) 4) x = 53, and thus 2x = 106 and x-32 = 21

[@denisewenke8323]

B. No other answer has one number that's double one of the others.

[@dazartingstall6680]

Ignoring that b is the only choice which even makes sense... 4x − 32 = 180 4x = 212 x = 53 2x = 106 x − 32 = 21

[@richardhole8429]

Done in my head. 4x - 32 = 180 4x = 212 x = 53 D

[@brothaantone8286]

I’m glad I subscribed.

[@aryusure1943]

I'm glad I was right to study algebra before geometry. :) But this one was easy as long as you know that the sum of the angles of a triangle is 180 degrees and that you know how to figure out 2x in a multiple choice problem.

[@robertlawson8572]

"I'm glad I was right to study algebra before geometry. :)" You got a choice? I didn't! Though... we were learning Algebra without knowing it at my school. How? Given the prices and quantities of various grocery items, we were tasked with working out a total cost. The sneaky thing was, we were encouraged to use abbreviations for the items. Apples = a, Bananas = b, Cucumbers = c. 3a + 4b + 2c = ? Simple algebraic notation disguised as shorthand...

[@aryusure1943]

@@robertlawson8572 Fun way to be introduced to algebra. As for me I was talking about my new adventure in maths. I don't remember what we studied first when I was in school.

[@robertlawson8572]

@@aryusure1943 It wasn't clear that you were referring to a more recent learning experience than you'd had in your school days... Anyway the use of algebraic notation in place of writing "apples" or "bananas" appealed to my naturally lazy nature. I thought the teacher's method was deceptively clever... (in retrospect)

[@janelbrookshire7011]

I got a smiley face, 100%, a certificate and a gold star? 🥳

[@richardl6751]

Yes you did and a high five.

[@tomtke7351]

b) because 106 = 2×53

[@AE-jj2ec]

As for "multiple choice": There are three choices that can be eliminated from the list of possible answers: One of the angles is in fact twice another angle. Only in answer B are two such angles: 53° and 106°. So you don't even need to know that the sum of the angles in any triangle equals 180° and you can do without any further calculations.

[@Usmctbone]

I canceled c&d, then a. You can look at the angles and see that 2 of the 3 are acute but nowhere close to the same angle (the obtuse angle gave that away so both couldn't be 30°).

[@tomtke7351]

x° + 2x° + (x - 32)° = 180°

[@Hi-rw8vr]

Only one of the options works with the x+2x+x-32. Maybe make better options that all follow the rule, but don’t add up to 180?

[@Serisky621]

I agree!!! It is much too easy to eliminate all wrong answers. Or maybe make it NOT multiple choice.

[@josephlaura7387]

b) 53,106,21 degrees

[@russelllomando8460]

Got it B 4X = 212 thanks for the fun

[@winstonm9764]

Haven’t watched the video yet, so I’m going to say that the angles are 53°, 106°, and 21°.

[@andrewsniimensaamoo253]

The answer is B , 53+106+21

[@mimimiraj7351]

I looked at the picture of the angle..(2x)... I looked at the answers 106 stood out

[@panlomito]

The total degrees of a triangle is 180° (always), we find us here a sum of (x-32) + x +2x=180 or 4x = 212 No calculator of course, that is only for smart kids... 2x = 106 -> x = 53° So the answer will be 21, 106 and 53° but not one of the multiple choice answer is even close so I must be wrong.

[@andrewmovius1654]

B is the only answer that meets the x-32 unknown angle: x-32 CANNOT = x

[@bravewave2084]

B. I plugged in the answers after eliminating A.

[@davidwatson7604]

Algo boost! Generally speaking Boom

[@charlesmitchell5841]

B) 53, 106, 21?

[@robhaver8704]

it can only be answer B 'cause 2x is x times 2 = 53 times 2 = 106

[@hakopajemyan334]

53 106 20

[@ChrisLichowicz]

God! Every angle on a triangle will add up to 180 degrees, people. He says algebra. I did with addition.

[@deograciousuwiragiye8429]

I can choose b.

[@leladeliyannis8674]

53

[@Lee-ku6lk]

B. Is the Correct Answer

[@kevingeier3385]

You are correct.

[@wernerviehhauser94]

No need for algebra since there is only one solution with a difference of 32 between the numbers.

[@boryanaspasova4372]

B is the correct answer

[@jimrattley1372]

B obviously

[@mauriziograndi1750]

b) obviously because add up to 180 degrees on the contrary of the other answers.

[@Serisky621]

Answer is b), but c) & d) also add to 180. By the way, please write more clearly, with better grammar.

[@mauriziograndi1750]

Yes I realised afterwards that also the others angles were adding up to 180 degrees. I was in a hurry because occurred to me before that some answers were very obvious and and I found them at a glance by inspection. But thanks to have pointed that out.

[@jsEMCsquared]

B without reading the comments obvious 73 er 53

[@mauriziograndi1750]

b)

[@patriciapederson3134]

B

[@kennethwright870]

Clearly b

[@user-uz3pl3vw2d]

b

[@terry_willis]

Pieces cake.

[@harrymatabal8448]

Wtf one angle is outside the diagram

[@Jeanne90275]

b)

[@carolfoster6863]

B

[@MrBobWingard]

B

[@samswift4921]

B

[@amanraj8827]

B