Two intersecting lines create four angles with the same vertex, labeled A

Question

, 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

To find \( m∠A \), we can use the fact that the angles formed by two intersecting lines are related.

Since angles \( A \) and \( C \) are opposite angles (also known as vertical angles), they are equal. Therefore, \( m∠A = m∠C \).

Given that \( m∠C = 75° \), we can conclude:

\[ m∠A = 75° \]

Thus, the correct response is \( 75° \).