Using the fact that ∠13 and ∠14 are supplementary angles, we will get:
- x = 24
- m∠13 = 107°
- m∠14 = 73°
How to find the value of x?
Notice that the angles ∠13 and ∠14 are supplementary angles, which means that the measures add up to 180°.
- The measure of angle ∠13 is: 4x + 11
- The measure of angle ∠14 is: 3x + 1
Then we should have that:
(4x + 11) + (3x + 1) = 180
Now we need to solve that linear equation for x, we will get:
(4 + 3)*x + (11 + 1) = 180
7x + 12 = 180
7x = 180 - 12 = 168
x = 168/7 = 24
The value of x is 24, and the measures of the angles are:
- The measure of angle ∠13 is: 4x + 11
- The measure of angle ∠14 is: 3x + 1
- m∠13 = 4*24 + 11 = 107°
- m∠14 = 3*24 + 1 = 73°
If you want to learn more about supplementary angles:
https://brainly.com/question/2046046
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