Question

two complementary angels differ by 20 find the angle

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Answer 1

Answer:

LET THE LARGER ANGLE = X

LET THE SMALLER ANGELE = Y

Step-by-step explanation:

ATQ

X - Y = 20

X + Y = 90 ( AS GIVEN THAT BOTH ANGELS ARE COMPLEMENTARY)

ADD BOTH EQUATION

X+ Y = 90

X - Y = 20

2X = 110

X = 55

PUT THE VALUE IN EQUATION 1

55 + Y = 90

Y = 35

ANSWER ARE CORRECT YOU CAN VERIFY AS IT SATISFIES THE CONDITION GIVEN IN QUESTION

PLEASE MARK AS BRAINLIEST

Answer 2

Answer:

55° and35°

Step-by-step explanation:

x+y=90° (complementary angles) ->1

x-y=20° (given) ->2

1+2

2x=110°

x=55°

By substituting x in 1 we get

55°+y=90°

y=90°- 55°

y=35°