Answer:
a. x= 9
b. 70
c. 110
d. 70
e. 110
Step-by-step explanation:
a.
congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent
2(12x+2)+2(7x+7)=360
divide both sides by 2
12x+2+7x+7=180
combine like terms
2+7=9
12x+7x=19x
19x+9=180
subtract both sides by 9
19x=171
divide both sides by 19
x=9
7x+7,
7*9+7
63+7 = 70
1 is 70, 3 is 70
12x+2, x=9
108+2 = 110
2 and 4 is 110
Answer:
Step-by-step explanation:
Angles 1 and 2 are supplementary (their sum is 180 degrees)
7x + 7 + 12x + 2 = 180
19x= 171
x = 9
m 1 = 7 * 9 + 7 = 70 degrees
m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees
m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.
m 4 = angle 2 and angle 4 have the same measure: 110 degrees
