Answer:
17
Explanation:
You want the value of x, given supplementary angles marked (5x -10)° and (6x +3)°.
Supplementary
The two marked angles are supplementary, so their sum is 180°:
(5x -10)° +(6x +3)° = 180°
11x -7 = 180 . . . . . . . . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 187/11 = 17 . . . . divide by the coefficient of x
The value of x is 17.
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Additional comment
The acute angle is 75°; the obtuse angle is 105°.
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