Find the angle in the figure - do you understand triangle properties?

How to find the angle in a triangle - sum of the angles in a triangle and supplementary angles.
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[@camdeskjockey2355]

Both triangles can be solved easily. The answer is 120 degrees and the missing angle of the smaller triangle is 35 degrees.

[@adamglltt89]

I like these little videos, I can usually do it in my head and check the comments to make sure. But it's a nice daily challenge. I'm sure the video is helpful to others.

[@davidwarr8600]

You made this a lot more complicated than it had to be.

[@francisdelpuech6415]

Found 120° in my mind in 30 seconds

[@sootuckchoong7077]

So peanuts!! 😂

[@devonwilson5776]

Greetings. The answer is 120 degrees. The value for X is 180 = X+15+45, the sum of the angles of a triangle. That is X=180-60=120 degrees.

[@cobbler88]

Some people REALLY put more thought into this than 180-(15+45)=?

[@stevenjohnson1143]

X is 120 degrees because all triangles angles add to 180 the known are adding up 180 degrees the other missing is 35 degrees on the same principle

[@festidious2644]

Found the angle closest to the bottom of the screen first then started at the 100° angle and kept going counter-clockwise from there, solving for the angles. Then found the angles of the bottom triangle and calculated X from there. Took maybe a minute in my head. Funny how I didn't see at first that all I had to do was subtract (45+15) from 180 to get X.

[@michaelmappin4425]

X=120. I'm getting pretty good at triangles. Every angle in the figure can easily be obtained. The other angles in the 15 triangle are 80/85. The small triangle at the bottom is 35/85/60. The congruent cross opposite the 45 angle are both 95.

[@darkparker7500]

120 degrees. There is a total of 180 degrees in every triangle. Therefore: x = 180 - (15 + 45) x = 180 - 60 x = 120 degrees

[@danieldennis9831]

x=120° The 100° is a red herring.

[@flyfisher8475]

If you realise that internal angles of a quadrilateral add up to 360 it's very easy to do the solution in your head in a few seconds.

[@user-bs8mi3qw7g]

Euclid is rolling in his grave with laughter. Dr. K ❤

[@TheAZZA0990]

The large triangle has given angles of 15°, 45°, and x° ! Therefore x =120° ( Interior angles of a plain triangle always total 180° ) !!! But it must be a plain triangle - in non Euclidean geometry this is not so!!)

[@walterstockhecker5579]

You handed us two of the angles in a triangle is always 180°, so you just have to subtract 60 from 180 equals 120

[@rodfulford4306]

120

[@Geoff_G]

180⁰-45⁰-15⁰=120⁰

[@user-ri6rn7ti5h]

30x (x+30x-15)

[@RobNMelbourne]

120°

[@MrArcher0]

120⁰ A+B=180-C

[@paulbains9152]

120 degrees

[@PaulHirsh]

120. The 100 is a red herring

[@user-gl7co5oi7d]

Angle x= 120 degree

[@bravewave2084]

X is 120 degrees? 🎉yeeeeaaa.

[@mahamunibalakrishnan8263]

X= 120.

[@frankalfonso7070]

120 Degrees

[@MichaelCurley-jf4ed]

Wrong

[@babujimitra7920]

What a bore😂

[@charlesstarling1091]

120

[@user-ok2tw7yl6v]

120

[@benbernard4058]

110