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Pls help find the unknown angles


Pls help find the unknown angles ​-example-1

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4 votes

Answer:

x=34, z=26 degrees, y=74 degrees

Explanation:

We can find x because the triangles are equal to each other, meaning that we can set 2x-20 equal to 4x-88. When solved, x=34. This now means that the expression 2x-20 and 4x-88 both equal to 48 degrees.

Now looking at the triangle on the left, we can find the angle using supplementary angles, setting 180-154, which is 26 degrees. This means z on the triangle to the right is also 26 degrees since the triangles are equal to each other.

Because of knowing two angles, we can now find the 3rd one by adding both of them up and subtracing it from 180. That will get you 106 degrees, then using vertical angles we can find that the angle measure of 106 degrees carries over to the second triangle.

To find y now, you simply subtract 106 from 180 to get 74 degrees.

(I believe this is right, hopefully it made sense!)

User Ildelian
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