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galben [10]
2 years ago
8

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

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

m\angle Y=40^\circ

Step-by-step 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}

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