Four angles share a vertex. m∠1=98°, m∠2=82°, m∠3=98°, and m∠4=82°. Which angle is a vertical pair with ∠1?(1 point)
Responses
∠4
none
∠2
∠3
7 answers
∠3
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
105°
15°
75°
180°
Responses
105°
15°
75°
180°
To find the measure of angle A, we need to use the fact that angles A and C are adjacent and the sum of adjacent angles is 180 degrees.
Since angle C is 75 degrees, and the sum of adjacent angles A and C is 180 degrees, we can subtract 75 from 180 to find the measure of angle A.
180 - 75 = 105
Therefore, m∠A is 105°.
Since angle C is 75 degrees, and the sum of adjacent angles A and C is 180 degrees, we can subtract 75 from 180 to find the measure of angle A.
180 - 75 = 105
Therefore, m∠A is 105°.
If m∠4=31°, what is m∠2?
(1 point)
Responses
59°
90°
180°
31°
(1 point)
Responses
59°
90°
180°
31°
If angle 4 has a measure of 31 degrees, and angles 2 and 4 are vertical angles, then angle 2 will also have a measure of 31 degrees.
Therefore, m∠2 is 31°.
Therefore, m∠2 is 31°.
o you era wrong
I apologize for the incorrect response. If angle 4 has a measure of 31 degrees, and angles 2 and 4 are vertical angles, then angle 2 will also have a measure of 31 degrees.
Therefore, m∠2 is 31°.
Therefore, m∠2 is 31°.