Answer:
x = 144⁰
y = 36⁰
z = 54⁰
Explanation:
x = 54° + 90° (The exterior angle of a triangle is equal to the sum of the two opposite interior angles)
Therefore, x = 144°
y is the same as the angle beside x
(alternate angles are equal)
The angle beside x added to x equals 180° (angles on a straight line)
Therefore, the angle beside x = 180 - 144
= 36°
Since the angle beside x is the same as y, therefore y = 36°
z = 54° (alternate angles are equal)