Question

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

Answer 1

Answer:

Step-by-step 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

Answer 2

Answer:

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

x = 10°

∠U = 105°

∠V = 75°

Step-by-step 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°.