Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel.
Therefore, it is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
So,
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
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