Two intersecting lines create four angles with the same vertex, labeled A, B, C, and D. Angle B is adjacent to ZA and ZC. Find mA if m/C = 75°

Question

(1 point)

Answer 1

Since angle B is adjacent to angle C, we can use the supplementary property of adjacent angles. Therefore, angle B + angle C = 180 degrees.

We are given that m/C = 75 degrees.

Let's substitute m/C into the equation:
angle B + 75 degrees = 180 degrees.

Now, subtract 75 degrees from both sides:
angle B = 180 degrees - 75 degrees.

Simplifying, we have:
angle B = 105 degrees.

So, the measure of angle B is 105 degrees.