Question

An angle measures 6º less than the measure of its complementary angle. What is the
measure of each angle?

___ and ___

Answer 1

Answer:

The  measure of each angle is:

48° y 42°

Step-by-step explanation:

Complemenary angles sum 90°

then:

a + b = 90°

a = b - 6

∴

(b-6) + b = 90

2b - 6 = 90

2b = 90+6

2b = 96

2b = 96

b = 96/2

b = 48°

a = b-6

a = 48 - 6

a = 42°

Check:

42° + 48° = 90°