Question

in parallelogram ABCD, angle A =( 4 x - 5)degree and Angle B =( 3 x + 10) degree. Find angle C and D

Answer 1

In parallelogram adjacent angles are supplementary.

angleA+angleB=180°
4x-5+3x+10=180°
7x+5=180°
7x=175
x = 175/7
x = 25

angle A= 95°
angleB= 85°
opposite angles of parallelogram are equal.
angleC=angleA=95°
angleB=angleD=85°

Answer 2

So,
By this
an. C=180°-an.B=95°
an. D=180°-an.A=85°

[angles and supplementary on the same side of transversal]



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