Question

In the given figure, ABCD is a parallelogram. Find x, y and z.​

Answer 1

Answer:

Question: ABCD is a parallelogram. 'x', 'y' and 'z'.

ANSWER

X = 55°

y = 69°

z = 111°

Find

Step by step Explanation.

Given

ABCD is a parallelogram.

ZA = 125°

ZBCZ = 56°

To Find

x, y and z.

Proof

For 'X'

x + 125° = 180° [Co - Interior Angles]

x = 180° - 125°

x = 55°

For 'Y'

ZA ZC [Opp. angles of a parallelogram are equal

125° = y + 56°

125° - 56° = y

y = 69°

For 'Z'

ADCZ is a quadrilateral.

ZA+x+y+z= 360°

125° + 55° + 69° + z = 360°

249° +z = 360°

z = 360° - 249⁰

z = 111°