Question

If measure of angle p=(10x-2),measure of angle o=(3x+9) , and measure of angle q=(3x-3) , list the lengths of the sides of triangle OPQ from longest to shortest.

A.
PO, OQ, PQ
B.
OQ, PQ, PO
C.
OQ, PO, PQ
D.
PO, PQ, OQ

Answer 1

10x-2+3x-3+3x=180
16x-4=180
16x=184
x=11.5
》O=43,5
》P=115
》Q=31.5


》The answer
A.PO,OQ,QP

Answer 2

B. OQ, PQ, PO

Explanation:

To find x, add the measures and set equal to 180.

10x - 2 + 3x + 9 + 3x - 3 = 180

16x + 4 = 180

16x = 176

x = 11

m<P = 10x - 2 = 10(11) - 2 = 110 - 2 = 108

m<O = 3x + 9 = 3(11) + 9 = 33 + 9 = 42

m<Q = 3x - 3 = 3(11) - 3 = 33 - 3 = 30

OQ, PQ, PO