Respuesta :

Answer:

QPR = 30 degrees

You have to find the measure of angle QPR.

Solve:

[tex]40 = 8x + 7 + 9x + 16[/tex]

Add like terms

[tex]40 = 17x + 23[/tex]

Solve

[tex]40 - 23 = 17x + 23 - 23[/tex]

[tex]17 = 17x\\\frac{17}{17} = \frac{17}{17}x\\1 = x[/tex]

Plug in x to solve for the angle measure of QPR

[tex]9(1) + 16 =\\9 + 16 =\\25[/tex]

The angle measure of QPR is 25°

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