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Please help Find: ∠x ∠a ∠b

Please help Find: ∠x ∠a ∠b-example-1
User Vijay E
by
5.0k points

1 Answer

4 votes

9514 1404 393

Answer:

x = 22

a = 88°

b = 92°

Explanation:

The angles marked with x-expressions are same-side interior angles, so are supplementary.

5x -18 +3x +22 = 180

8x +4 = 180

8x = 176

x = 22

Then the other marked angles are ...

a = 3x +22 = 3(22) +22 = 88 . . . degrees

b = 5x -18 = 5(22) -18 = 92 . . . degrees

User Hanno
by
4.8k points
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