Question

supplementary/vertical find the measure of angle b. 1) b 56° 2) 137° b 3) b 72° 4) 120° b

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal.

Step2: Solve for each angle b

For 1):

Since vertical angles are equal, $b = 56^{\circ}$.

For 2):

Using the vertical - angle property, $b=137^{\circ}$.

For 3):

By the vertical - angle property, $b = 72^{\circ}$.

For 4):

The angle vertical to the $120^{\circ}$ angle is also $120^{\circ}$, so $b = 120^{\circ}$.

Answer:

1. $b = 56^{\circ}$
2. $b = 137^{\circ}$
3. $b = 72^{\circ}$
4. $b = 120^{\circ}$