what is x and y tell me answer fast pls
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Step-by-step explanation:
(1) ∠ADB = z
∠ADB + ∠ADC = 180° (Linear pair)
z + 100° = 180°
z = 180° - 100°
z = 80°
In ΔABD
∠BAD = x°
∠BDA = 80°
∠ABD = 45°
x + 80° + 45° = 180° (Angle Sum Property)
x + 125° = 180°
x = 180° - 125°
x = 55°
In ΔADC
∠ADC = 100°
∠DAC = 30°
∠ACD = y
y + 100° + 30° = 180° (Angle Sum Property)
y + 130° = 180°
y = 180° - 130°
y = 50°
ANS = x is 55° and y is 50°
(2) ΔXYZ
∠XYZ = 40°
∠YXZ = y
∠XZY = 50°
Exterior Angle = x
Interior opposite angles = 40° and 50°
40° + 50° = x
90° = x
y + x = 180° (Linear Pair)
y + 90° = 180°
y = 180° - 90°
y = 90°
ANS = Both y and x are 90°
Hope it helps
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