Answer:
X = 30°, y = 15° and z = 150°.
Reason: Look below.
Step-by-step explanation:
Hey there!
When we look into the figure, we find that;
For x:
x+ 2x + 90° = 180° {Being linear pair}
or, 3x = 180°-90°
or, 3x = 90°
or, x= 90°/3
Therefore, X = 30°.
For y :
2y = x = 30° {Alternate angles are equal}
or, 2y = 30°
y = 30°/2
Therefore, y = 15°
For z:
2y + z = 180° { Being linear pair}
or, 30°+z = 180°
or, z = 180°-30°
or, z = 150°
Therefore, z = 150°.
Hope it helps...
