A complement of an angle measures 10 degrees more than the measure of the angle. What is the measure of the angle and its complement? Explain your reasoning.

Question

Mathematics

Delilah Fields

18 December, 18:45

A complement of an angle measures 10 degrees more than the measure of the angle. What is the measure of the angle and its complement? Explain your reasoning.

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Answers (1)

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Aubree Herring · Answer 1

Compelemttry angles add to 90

angles are x and y

x+y=90

x is 10 more than y

x=10+y

sub

10+y+y-90

10+2y=90

minus 10

2y=80

divide 2

y=40

sub back

x=10+y

x=10+40

x=50

numbers are 40 and 50 degrees