Question

Use the following diagram for questions 4 - 6.

What is the relationship between the two angles?
a-Complementary
b-Linear Pair
c-Vertical Angles


What rule applies to the two angles?
a-They add up to 90
b-They are congruent (equal)
c-They add up to 180


Solve for x.
a-x = 23
b-x = 49
c-x = 36
d-x = 18

Answer 1

1. C

2. B

3. B

Explanation:

Vertical angles are the angles opposite each other when two lines cross, thus angles with measures (x+77)° and 126° are vertical angles.

Vertical angles are congruent.

Hence,

`x+77=126\\ \\x=126-77\\ \\x=49^(\circ)`