Vertical Angles Quick Check

Question

3 of 53 of 5 Items

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

75°
75 degrees

180°
180 degrees

105°
105 degrees

15°
15 degrees
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page 11 of 11

Answer 1

In this scenario involving intersecting lines, we know that vertical angles are equal and adjacent angles are supplementary. Given that angle \( C \) measures \( 75^\circ \), we can determine the measure of angle \( A \).

Since angles \( A \) and \( C \) are vertical angles, their measures are equal:

• \( m∠A = m∠C = 75^\circ \)

Therefore, the measure of \( m∠A \) is \( 75^\circ \) (or 75 degrees).

So the correct response is:

• 75° (75 degrees)