Question

In AWXY, m_W = (10x +17), m_X = (2x – 9)", and m_Y = (3x + 7)º.
Find mZY

Answer 1

`m\angle Y=40^\circ`

Explanation:

Suppose we have a triangle WXY whose internal angles are:

`m\angle W = 10x+17`

`m\angle X=2x-9`

`m\angle Y=3x+7`

The sum of the measures of the angles must be 180°, thus:

`10x+17 + 2x-9+3x+7=180`

Simplifying:

15x + 15 = 180

Subtracting 15:

15x = 165

Dividing by 15:

x = 11

Thus, the measure of angle Y is

`m\angle Y=3x+7=3*11+7=33+7=40`

`\mathbf{m\angle Y=40^\circ}`