Question

a. among two supplementary angles,the measure of the longer angle is 44° more than the measure of the smaller angle. find their measures.

b. if an angle is half of its complement, find the measure of angle.

Answer 1

hope this may help u...
☝☝a

b)

Answer 2

[a] Let the smaller angle be x

then , longer angle is ( x + 44 )

Given that it is supplementary, so their sum will be 180

x + x + 44 = 180

2x = 180 - 44

x = 136 / 2 = 68

smaller angle is 68

Larger angle is 68 + 44 = 112

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[b] Complement means 90

Half of complement is 45

Your answer is 45