Question

Two angles are complementary. The first angle measures (2x+15)∘, and the second measures (4x+9)∘.


Write an equation to determine the value of x. Then solve your equation and find the measures of both angles.


Enter the correct answers in the lines


1.equation: ___________?


2.solution: x= __________?


3.The first angle has a measure of __________?

4.∘, and the second angle has a measure or _____________?

∘.please answer 1 2 3 4 thanks who ever answer get 10 Brain thing maybe more

Answer 1

Answer:

37° and 53°

Step-by-step explanation:

2x + 15 + 4x + 9 = 90 since the angles are complementary

6x + 24 = 90

6x = 66

x = 11

2x + 15 = 2(11) + 15 = 22 + 15 = 37

4x + 9 = 4(11) + 9 = 44 + 9 = 53

Check:  53 + 37 = 90

Answer 2

1. $\boldsymbol{2x+15+4x+9=90}$

2. $\boldsymbol{x=11^{\circ}}$

3. Measure of the first angle is $\boldsymbol{37^{\circ}}$

4. Measure of the second angle is $\boldsymbol{53^{\circ}}$

Complementary angles

Two angles are said to be complementary if their sum if $\boldsymbol{90^{\circ}}$

Measure of the first angle$=\boldsymbol{(2x+15)^{\circ}}$

Measure of the second angle $=\boldsymbol{(4x+9)^{\circ}}$

1. $\boldsymbol{2x+15+4x+9=90}$

2.

$6x+24=90\\6x=66\\\boldsymbol{x=11^{\circ}}$

3.

Measure of the first angle $=2(11)+15$

                                            $=\boldsymbol{37^{\circ}}$

4.

Measure of the second angle $=4(11)+9$

                                                  $=\boldsymbol{53^{\circ}}$

Find out more information about complementary angles here:

https://brainly.com/question/2882938?referrer=searchResults