Question

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

Answer 1

Answer:

<B = 83 degrees, <C = 97 degrees

Step-by-step explanation:

A = C, B = D (opp <s = in //gram)

A + D = B + C = 180 degree (adjacent <s in //gram or <s on the same side of transversal)

Thus,

A + D = 4x + 13 + 5x - 22 = 9x - 9 = 180

x = 189/9 = 21

A = 84 + 13 = 97 = C

D = 105 - 22 = 83 = B