Using supplementary angles, it is found that the value of x is of x = -29.6º.
What are supplementary angles?
Angles are called supplementary if the sum of their measures is of 180º.
The 3 internal angles of a triangle are supplementary, hence:
y + 38 + 97 = 180
y = 180 - 135
y = 45º.
(-5x - 13)º is the external angle of 45º. An angle and it's external angle are supplementary, hence:
-5x - 13 + 45 = 180
5x = -148
x = -148/5
x = -29.6º.
More can be learned about supplementary angles at brainly.com/question/12919120
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