The measure of one interior angle of a parallelogram is 30 degrees more than two times the measure of another angle. What is the measure of each angle of the parallelogram?

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Answer 1 · 2017-12-23T09:38:09

Measure of the angles are 50, 130, 50 & 130

As can be seen from the diagram, adjacent angles are supplementary and opposite angles are equal.

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Let one angle be A

Other adjacent angle b will be 180-a

Given b = 2a + 30. Eqn (1)

As B = 180 - A,

Substituting value of b in Eqn (1) we get,

#2A + 30 = 180 - A#

#:. 3a = 180 - 30 = 150#

#A = 50, B = 180 - A = 180 - 50 = 130#

Measure of the four angles are
#50, 130, 50, 130#