Question

Select the correct answer from each drop-down menu.

Answer 1

x=90 degrees

y=142 degrees

z=128 degrees

Explanation:

Answer 2

X = 95 degrees

Y = 147 degrees

Z = 128 degrees

Explanation:

Angle z can be found as :
`180-52` = 128 degrees. This is because the sum of the internal angle and the external angle on the same vertex is 180°

The opposite of angle X can be found as
`180-(45+50)` = 85 degrees.

Now angle X lies on the same line. We can say X is exterior angles to the opposite interior angle of bigger triangle.

Angle X =
`180-85` = 95 degrees

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Angle Y =
`52+95` = 147 degrees.