The measure of PMU is 56° and the measure of UPM is 62
-2x - 147 = 123 + 7x
Add 147 on both sides
-2x = 270 + 7x
Subtract 7x on both sides
-9x = 270
Divide -9x on both sides
X = -30
Answer:
c
Step-by-step explanation:
Answer:
w = 42
Step-by-step explanation:
A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).
Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:
m<1 + m<2 = 180.
To solve just substitute the expressions given by the angles, and solve.
m<1 + m<2 = 180
| |
v v
(w+5)+(3w+7) = 180 →
4w + 12 = 180
-12 -12
___________
4w = 168
÷4 ÷4
_______
w = 42
