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Find angle Y

 

 Sep 2, 2020
 #1
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Angle Y is 102 degrees.

 Sep 2, 2020
 #2
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Because the triangle is isosceles, the two labelled angles are the same. Thus:

 

5x + 6 = 8x - 15   so  3x = 21 hence x = 7

 

These two angles are therefore 41°

 

We must have 41 + 41 + Y = 180, so Y = 180 - 82 = 98°

 Sep 2, 2020

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