Question

Two angles are complementary. The larger angle is 3° less than twice the measure of the
smaller angle. Find the measure of each angle.
​

Answer 1

Answer:

59 degrees and 31 degrees

Step-by-step explanation:

LET THE SMALLER ANGLE BE : x

THEN THE LARGER ANGLE : 2x-3

GIVEN THAT ANGLES ARE COMPLEMENTARY ANGLES

SO SUM OF ANGLES IS 90 DEGREES

I.E. 2x-3+x=90

3x=90+3

3x=93

x=31

THEREFORE THE SMALLER ANGLE IS x=31

THEN THE LARGER ANGLE IS:

2x-3=2(31)-3=59