Question

50 POINTS!!!

If < PQR and < RQS form a linear pair, and, m< PQR = 5x + 5, and, m< RQS = 11x - 65, then: m< PQR = ?

Answer 1

PQR = 80

Explanation:

PQR and RQS make a line then their sum equals 180 degrees

5x+5 +11x-65 = 180

Combine like terms

16x -60 =180

Add 60 to each side

16x-60+60 = 180+60

16x = 240

Divide each side by 16

16x/16 = 240/16

x =15

We want to find PQR

PQR = 5x+5

5(15) +5

75+5

80

Answer 2

If <PQR and <RQS form a linear pair, they are supplementary or add up to 180. So, (5x+5) + (11x-65) = 180 ... Combining like terms, it would be : 16x-60=180. 16x=240, x=15. They've asked for the measure of <PQR, so substitute it in! 5x+5= 5(15) +5= 80.

Happy Solving!