Question

find x,y,z. also, state the properties you use to find them.
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Answer 1

Answer:

Step-by-step explanation:

x = 110° , y = 40° and z = 30°

Step-by-step explanation:

Given EFGH is a parallelogram.

EF || GH and GF is a transversal line.

If two parallel lines cut by a transversal, then the alternate interior angles are equal.

⇒ ∠HFG = ∠EGF

⇒ y = 40°

In triangle, exterior angle is equal to the sum of the two opposite interior angles.

⇒ z + y = 70°

⇒ z + 40° = 70°

⇒ z = 70° - 40°

⇒ z = 30°

Sum of the adjacent angles in a parallelogram = 180°

∠FEG + ∠EGF + ∠FGH = 180°

x + 40° + 30° = 180°

x + 70° = 180°

x = 180° - 70°

x = 110°

Hence x = 110° , y = 40° and z = 30°.