Question

ABCD is a parallelogram If A=(4x+13)° and D=(5 x-22)° then find the measures of B and C ​

Answer 1

Answer:

Step-by-step explanation:

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°

Answer 2

Answer:

Your answer is refer to the attachment

Hope my answer help you