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
7 answers
Angle ∠3 is a vertical pair with ∠1.
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
If angles A and C are adjacent, then the sum of their measures is 180 degrees.
m∠A + m∠C = 180
Substituting the given measure for ∠C:
m∠A + 75 = 180
Solving for m∠A:
m∠A = 180 - 75 = 105 degrees
Therefore, m∠A is 105 degrees.
m∠A + m∠C = 180
Substituting the given measure for ∠C:
m∠A + 75 = 180
Solving for m∠A:
m∠A = 180 - 75 = 105 degrees
Therefore, m∠A is 105 degrees.
If m∠4=31° , what is m∠2 ? (1 point) Responses 90° 90 degrees 180°180 degrees 31° 31 degrees 59°
If angles 2 and 4 are vertical angles (opposite angles formed by two intersecting lines), then they have the same measure. Thus, m∠2 would also be 31°.
If m∠6=140° , what is m∠7 ?
If angles 6 and 7 are vertical angles, then they have the same measure. Thus, if m∠6 is 140°, then m∠7 would also be 140°.