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Create an equation to solve for x then solve for x.

Create an equation to solve for x then solve for x.-example-1
User SleepNot
by
8.0k points

2 Answers

3 votes

Answer:

Equation:
2(9x + 15 + 6x + 15) = 360

x = 10°

∠U = 105°

∠V = 75°

Explanation:

Hello!

The sum of angles in a parallelogram is 360°. The opposite angles of a parallelogram are congruent.

Part A

Equation:
2(9x + 15 + 6x + 15) = 360

Solve


  • 2(9x + 15 + 6x + 15) = 360

  • 9x + 15 + 6x + 15 = 180

  • 15x + 30 = 180

  • 15x = 150

  • x = 10

The value of x is 10°.

Part B

To find the measures of each angle, simply plug in 10° for x in each equation.

∠U


  • 9x + 15

  • 9(10) + 15

  • 90 + 15

  • 105

Angle U is 105°.

∠V


  • 6x + 15

  • 6(10) + 15

  • 60+15

  • 75

Angle V is 75°.

User Jinuk Kim
by
8.5k points
0 votes

Answer:

Explanation:

In parallelogram adjacent angles are supplementary

∠U +∠V = 180

9x + 15 + 6x + 15 = 180

Combine like terms

9x + 6x + 15 + 15 = 180

15x + 30 = 180

Subtract 30 from both sides

15x = 180 - 30

15x = 150

Divide both sides by 15

x = 150/15

x = 10

∠U = 9x + 15

= 9*10 + 15

= 90 + 15

U = 105

∠V = 6x + 15

= 6*10 + 15

= 60 + 15

V = 75

User Keepmoving
by
7.6k points

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