Question

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°.(1 point) Responses 180° 180 degrees 105° 105 degrees 15° 15 degrees 75°

Answer 1

If angle C is 75 degrees and angle B is adjacent to angle C, then angle B must also be 75 degrees. Therefore, angle A, which is adjacent to angle B, must be 180 degrees - 75 degrees - 75 degrees = 30 degrees. Ans: \boxed{30}.

Answer 2

the answers are 180 105 15 and 75

Answer 3

Apologies for the mistake.

Since angles A and C are adjacent angles, it means that angle A + angle C = 180 degrees (straight line).
Therefore, if angle C is 75 degrees, angle A would be 180 degrees - 75 degrees = 105 degrees.

So, m∠A = 105 degrees.
The correct answer is: \boxed{105}.

Answer 4

If m∠6=140°, what is m∠7? (1 point) Responses 180° 180 degrees 50° 50 degrees 140° 140 degrees 40°

Answer 5

If angles 6 and 7 are adjacent angles, then we can use the fact that adjacent angles are supplementary, meaning their sum is 180 degrees.

So if m∠6 = 140 degrees, then m∠7 = 180 degrees - 140 degrees = 40 degrees.

Therefore, m∠7 is 40 degrees. The correct answer is: \boxed{40}.