Question

solve for x.
(8x + 11)°
73°

1. what kind of angle - relationship is shown above

corresponding angles
vertical angles
alternate interior
alternate exterior
consecutive interior
consecutive exterior

1. are these angles congruent, complementary, or supplementary?

congruent
complementary
supplementary
none of the above

Explanation:

Step1: Identify angle - relationship

The angles $(8x + 11)^{\circ}$ and $73^{\circ}$ are vertical angles since they are opposite each other when two lines intersect.

Step2: Set up the equation

Vertical angles are congruent. So, we set up the equation $8x+11 = 73$.

Step3: Solve for x

Subtract 11 from both sides: $8x=73 - 11$, so $8x = 62$. Then divide both sides by 8: $x=\frac{62}{8}=\frac{31}{4}=7.75$.

1.

Vertical angles are formed when two lines intersect and are opposite each other. They have equal measures.

Since vertical angles are equal in measure, they are congruent.

Answer:

Vertical Angles

2.