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Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Use angle relationships to complete the top equation. Then, solve for x and find the-example-1
User Xavier D
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1 Answer

15 votes
15 votes

9514 1404 393

Answer:

  • 7x +40
  • x = 20
  • 4x +30 = 110°
  • 3x +10 = 70°

Explanation:

The marked angles are supplementary, so you have ...

(4x +30) +(3x +10) = 180

7x +40 = 180

__

Subtracting 40 gives ...

7x = 140

x = 140/7 . . . . . divide by the coefficient of x

x = 20

__

Then the angle measures are ...

4x +30 = 4·20 +30 = 110°

3x +10 = 3·20 +10 = 70°

User Clancy Merrick
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3.1k points