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------------------------------------------------ The answer is 66. Can someone explain how to get to 66.

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Answer :

Answer:

Larger angle = 66°

x = 10, small angle = 24°

Step-by-step explanation:

"Complementary" means the angles add up to 90°.

So add the angles given together and set them equal to 90°.

2x + 46 + 3x - 6 = 90

Combine the x's

5x + 46 - 6 = 90

Combine the numbers.

5x + 40 = 90

Subtract 40.

5x = 50

Divide by 5.

x = 10.

The question asks for the larger angle.

2x + 46

= 2(10) + 46

= 20 + 46

= 66°

Which you knew. The other angle is 24°. So they do add up to 90°

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