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

Answer 1

Since angles B and C are adjacent, we know that the sum of their measures is equal to the measure of angle C, which is 75°. Let's call the measure of angle B x:

x + 75° = 75°

Subtracting 75° from both sides:

x = 0°

Since angle B is adjacent to angle A, and angle C is opposite angle A, we can conclude that angle A is equal to 0°.

Answer 2

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

15 degrees

105 degrees


180 degrees



75 degrees

Answer 3

Let's analyze the angles of the intersection.

Angle A and angle C are opposite angles, which means they have the same measure.

Given that m∠C = 75°, we know that m∠A = 75° as well.

Therefore, m∠A is 75 degrees.