Question

If an angle is half of its complement, then the measure of the LARGER angle will be

Answer 1

60°

Explanation:

Complementary angles sum 90°

a + b = 90° Eq. 1

b = a/2 Eq. 2

Replacing Eq. 2 in the Eq. 1

a + a/2 = 90

2a/2 + a/2 = 90

3a/2 = 90

a = 90*2/3

a = 60

from the Eq. 2

b = 60/2

b = 30

Check:

from the Eq. 1

60 + 30 = 90

Answer:

60>30

Then

The larger angle is:

60°