. An angle measures 28° less than the measure of its complementarylangle. What is the
measure of each angle?

59 degrees and 31 degrees.

Step-by-step explanation:

Complementary angles form a 90 degree angle. Let's say that one angle measures x degrees. If one angle is x degrees, the other measures 28 degrees less. So, the other measures x - 28 degrees.

x + (x - 28) = 90

2x - 28 = 90

2x = 118

x = 59 degrees.

The other angle measure will then be 59 - 28 = 31 degrees.

Hope this helps!

59°  and   31°

Step-by-step explanation:

Complementary angle sum 90°

a + b = 90

a = b - 28

then:

(b - 28) + b = 90

2b - 28 = 90

2b = 90 + 28

2b = 118

b = 118/2

b = 59°

a = b - 28

a = 59 - 28

a = 31°

Probe:

59° + 31° = 90°

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )