Answer:
Given parallelogram MNFQ,
Prove: ∠N ≅ ∠Q
Since, by the definition of parallelogram opposite sides are congruent,
That is, MN≅QP and MQ≅NP.
Statement Reason
1. MNPQ is a parallelogram. 1. Given
2. MN≅QP 2. Definition of parallelogram
MQ≅NP
3. MP≅MP 3. Reflexive
4.Δ MQP≅Δ PNM 4.SSS congruence postulate
5.∠N≅∠Q 5. CPCTC
Answer:
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares , the remaining unknown angles are equal (
). The sum of the interior angles of a triangle always add up to
.
Therefore:
.