Question

The measures of two complementary angles are (5x-17) and (2x+23) What is the measure of the smaller angle?

Answer 1

Answer:

5x-17 + 2x+23 =90

5x + 2x +23-17=90

7x +6 =90

7x=90-6

7x = 84

x=84/7

x = 12°

Substitute x=12°

5x-17

= 5(12)-17

=60-17

=43°

2x+23

=2(12)+23

=24+23

=47°

Hence the measure of smaller angle is 43°

Answer 2

Answer:

the value of the smaller angle is 43

Step-by-step explanation:

since the sum of two complementary angles are 90degrees

5x-17 + 2x+23=90

7x + 6 = 90

7x = 84

x= 12

so , the value of one angle is

5×12-17=43

another angle is

90-43=47

So the value of smaller angle is 43