Answer:
Larger angle = 66°
x = 10, small angle = 24°
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°