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Using the photo below, write and solve an equation to find x.

Using the photo below, write and solve an equation to find x.-example-1
User Dgilland
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1 Answer

16 votes
16 votes

Answer:

x = 20°

Explanation:

You want to find x given the relationship between angles shown in the diagram.

Vertical angles

Vertical angles are congruent. That means their measures are equal:

5x +10° = 7x -30°

40° = 2x . . . . . . . . . add 30°-5x to both sides

20° = x . . . . . . . . . divide by 2

The value of x is 20°.

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Additional comment

The two angles are ...

5(20°) +10° = 110° = 7(20°) -30°

User Matiu
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