Respuesta :

tam121

3x+3 + 10x-4 +90 (because complementary angle add up to 90)

13x-1+90 (add 1)

13x/13=91 (divide 13 on both sides)

x=7

now you fill in 7 for x

m<K=24 and m<L=66

hope i helped

akposevictor

The measures of both angles are 24° and 66°.

Given:

m<K = 3x + 3

m<L = 10x-4

Note:

Complementary angles are angles whose sum equals 90 degrees.

Therefore:

[tex]m \angle K + m \angle L = 90^{o}[/tex]

Substitute

[tex](3x+3) + (10x-4) = 90[/tex]

Solve for x

[tex]3x+3 + 10x-4 = 90\\[/tex]

Add like terms

[tex]13x-1 = 90\\[/tex]

Add 1 to both sides

[tex]13x = 90 + 1\\13x = 91[/tex]

Divide both sides by 13

[tex]x= 7[/tex]

Substitute the value of x in each of the expressions of the two given complementary angles.

[tex]m\angle K = 3(7) + 3 = 21 + 3\\m\angle K = 24^{o}[/tex]

[tex]m\angle L = 10(7) - 4 = 70 - 4 \\m\angle L = 66^{o}[/tex]

Therefore, the measures of both complementary angles are: 24° and 66°.

Learn more about complementary angles here:

https://brainly.com/question/17287188