Math, asked by laxmanaraopotnuruu4, 2 months ago

what is x and y tell me answer fast pls​

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Answered by nightread
1

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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