Problema Solution
The sum of the angles is equal to 360°. Angle A and angle B are the same. The measure of angle C is 20° greater than the measure of angle A. And the measure of angle D is 56° less than angle B. Find the measure of angle A, angle B, angle C, and angle D.
Answer provided by our tutors
let
a = the measure of angle A
b = the measure of angle B
c = the measure of angle C
d = the measure of angle D
a + b + c + d = 360
a = b
c = 20 + a = 20 + b
d = b - 56
plug a = b, c = 20 + b and d = b - 56 into a + b + c + d = 360
b + b + 20 + b + b - 56 = 360
by solving we find
b = 99
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a = 99°
b = 99°
c = 20 + 99 = 119°
d = 99 - 56 = 43°