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In the figure, x= ?, y= ?, and z= ?

In the figure, x= ?, y= ?, and z= ?-example-1

1 Answer

5 votes

Answer:

x = 95

y = 147

z = 128

Explanation:

x can be found by using the exterior angle triangle theorem, where, when you add the two opposite angles, it equals the measure of the exterior angle. In this case, 50 + 45 = 95.

The same theorem can be used to solve for y. 95 + 52 = 147

We see that angle z is composed of a linear pair, and we have one of the angle values, so just do 180 - 52 and you get 128.

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