Question

ABCD is a parallelogram. If <A=125° and <BCE=56°. Find x, y, z​

Answer 1

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Given,

ABCD is a parallelogram.

∠A = 125°

∠BCZ = 56°

To Find

x, y and z.

Proof

For 'X'

x+ 125° = 180° [Co - Interior Angles]

x = 180° - 125°

x = 55°

For 'Y'

A = ∠C [Opp. angles of a parallelogram are equal]

125° = y + 56°

125° - 56° = y

y = 69°

For 'Z'

ADCZ is a quadrilateral.

∠A + x + y + z = 360°

25° + 55° + 69° + z = 360°

24° + z = 360°

z = 360° - 249°

z = 111°

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Answer 2

Step-by-step explanation:

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