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36013063019zº10Find the values of x, y, and z. The diagram is not to scale.

1 Answer

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The sum angles in a triangle is 180 degrees

In the first triangle where we have 36 degrees and 63 degrees

we have three angles

36 degrees , 63 degrees and x degrees

x + 36 + 63 = 180

x + 99 = 180

isolate x

x = 180 - 99

x = 81 degrees

to calculate z

interior altenate angles are equal

36 degrees is alternate to angle z

Therefore 36 degrees = z

z = 36 degrees

to get y

y + 36 + 13 = 180

y + 49 = 180

y = 180 - 49

y = 131 degrees

User Ram Grandhi
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