Question

What reason explains why the m∠Q = 115°?

Responses
A diagonals of a parallelogram bisect each otherdiagonals of a parallelogram bisect each other
B opposite sides of a parallelogram are congruent opposite sides of a parallelogram are congruent
C opposite angles of a parallelogram are congruent opposite angles of a parallelogram are congruent
D consecutive angles of a parallelogram are congruent consecutive angles of a parallelogram are congruent
E consecutive angles of a parallelogram are supplementary consecutive angles of a parallelogram are supplementary

Answer 1

Based on the given options, the reason that explains why m∠Q = 115° is option E: consecutive angles of a parallelogram are supplementary. In a parallelogram, consecutive angles are always supplementary, meaning that their measures add up to 180°. Since m∠P = 65°, the measure of m∠Q can be found by subtracting 65° from 180°, which gives us 115°.

Hope that helps!