Question

The angles represented by the expressions (2x+46) and (3x-6) are complementary angles. find the measure of the larger angle. Im really confused. Could someone help.​

Answer 1

complementary angles add up to 90 so we want to add the two angles together and set it equal to 90° so 2x+46+3x-6=90
5x+40=90
5x=50
x=10
now that we know what X is we can figure out which angle is bigger and what your answer will be,
2(10)+46=66
3(10)-6=24
and to check our answer 66+24=90 so your answer is 66°

Answer 2

66

Explanation:

complimentary angles add up to 90 so:

3x-6 + 2x +46 = 90

5x +40 = 90

5x = 50

x = 10

2(10)+46 = 66

3(10) - 6 = 24