Answer:
8) x=9
10) 23 degrees
Step-by-step explanation:
8) vertical angles are congruent to each other so we can set the expressions as such and solve:
7x + 3 = 10x - 24
3 = 3x - 24
27 = 3x
9 = x
10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for x:
12x + 7 + 6x - 7 = 90
18x + 7 - 7 = 90
18x = 90
x = 5
now we plug it back into the expression equivalent to the measure of angle O:
6(5) -7
30 - 7
23 degrees
