English, 25.06.2019 14:50 mimi8561

An angle measures 82° more than the measure of its complementary angle. what is the measure of each angle?

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Answer from: jayla232

COMPLEMENTARY ANGLES ARE 2 ANGLES WHOSE SUM IS EQUAL TO 90.

LET X = FIRST ANGLE, SO THE SECOND ANGLE WOULD BE X + 82 SINCE IT IS 82 MORE THAN THE FIRST ANGLE.

NOW ADD THE TWO ANGLES TOGETHER AND THAT ANSWER IS 90.

THE EQUATION WOULD BE X + X + 82 = 90

2X + 82 = 90

SUBTRACT 82 FROM BOTH SIDES -82 -82

2X = 8

DIVIDE BOTH SIDES BY 2 AND GET X = 4

THIS TELLS US THAT THE FIRST ANGLE IS 4

SECOND ANGLE IS 82 + X. REPLACING X WITH 4 WE GET 82 + 4 = 86.

CHECK

FIRST ANGLE = 4 PLUS SECOND SNGLE = 86. ADDED TOGETHER GIVES 90. THIS MEANS THE ANGLES ARE COMPLEMENTARY

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An angle measures 82° more than the measure of its complementary angle. what is the measure of each...

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