Question

In the figure given above ABCD is a parallelogram,find the value of x,y and z.
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Answer 1

$\tt \angle \: y = 100\degree \:$

$\tt \angle \: x = 130 \degree$

$\tt \angle \: z \: = 130 \degree$

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Answer 2

In the given figure angle B=100°

so angle x=180°-100°=80°. {sum of adjacent angle of a parallelogram is 180°}

Angle y=Angle B{ opposite angel of a parallelogram are equal}

so Angle y=100°

Angle x=Angle z{opposite angel are equal}

so 80°=Angle z

HENCE ANGLE B=100°,ANGLE X=80°,ANGLE Y=100°, ANGLE Z=80°