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identify the pair of angles that is complementary in the diagram shown.please help me with this question

Identify The Pair Of Angles That Is Complementary In The Diagram Shownplease Help Me With This Question class=

Sagot :

Two angles are complementary, it means that the sum of the angles is 90 degrees

Looking at the diagram,

angle 1 = 90 degrees

Recall, the sum of the angles on a straight line is 180 degrees. This means that

angle 1 + angle 2 + angle 3 = 180

90 + angle 2 + angle 3 = 180

angle 2 + angle 3 = 180 - 9 = 90

Thus, angle 2 and angle 3 are complementary angles

By applying the same idea,

angle 4 and angle 5 are complementary angles

also, angle 8 and 5 are complimentary angles because angle 9 is 90 degrees. This means that angle 8 + angle 5 = 90 degrees