Question

ABCD is a parallelogram. If anlge A = (4x + 13) degree and angle D = (5x - 22) degree then find the measure of angle B and C

Answer 1

Hello friend

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Here is your answer!!!

Angle A and angle D are the adjacent angles.

And we know that,

Adjacent angles of a parallelogram are supplementary.

hence,

==> (4x + 13)° + (5x - 22)° = 180

==> 9x - 9 = 180

==> 9x = 180 + 9

==> 9x = 189

==> x = 21

Therefore, the angles will be.

angle A = 4x + 13

==> 4 * 21 + 13

==> 84 + 13

==> 97°


angle D = 5x - 22

==> 5*21 - 22

==> 105 - 22

==> 83°

And we know that the opposite side and opposite angles of a parallelogram are congruent.

Therefore,

Angle C = 97°

Angle B = 83°



Thanks..

:)

Answer 2

Answer:

the man has give ans I will show diagram