Question

12. If angles of measures (x - 2)° and (2x + 5)° are a pair of complementary angles, find the measures of

those angles.
A) 57" and 123
O B) 27" and 63
OC) 50 and 40°
OD) 30 and 60

Answer 1

Answer: B

Explanation:

The angles add to 90 degrees if they are complementary, so:

`x-2+2x+5=90\\3x+3=90\\3x=87\\x=29`

So, the angles measure 29-2=27 degrees and 2(29)+5=63 degrees.