8
algebra

Two angles are complementary (sum to 90). One is xx and the other is 4x+104x + 10. What is xx?

A

16

B

20

C

15

D

18

Correct Answer: A

Choice Dhoice C is the correct answer.

  1. Equation: x+(4x+10)=90x + (4x + 10) = 90
  2. Combine: 5x+10=905x + 10 = 90
  3. Subtract 10: 5x=805x = 80
  4. Divide by 5: x=16x = 16
  5. Verify: 16+74=9016 + 74 = 90

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice A is incorrect because calculation error.