Question

find the quadrilateral ABC, shown in the figure is a parallelogram. find the measure of x,y and z​

Answer 1

Answer:

Angle ABC = ??

Angle B = 44°

Therefore, Angle B = 180° - 44°

= 136°

Angle B congruent to angle D ......

Since opposite angles of a parallelogram are congruent

Therefore Angle B = angle D = 136°

Angle A = angle B (exterior angle B)

Since an exterior angle is similar to an interior angle lying on an equal ray

Therefore Angle A = 44°

Angle C = angle A

Since opposite angles of a parallelogram are congruent

Therefore, Angle A = angle C = 44°

Final Answer :- x = angle C /2 = 44/2 = 22°

y = angle D = 136°

z = angle A /2 = 44/2 = 22°

Answer :- x = 22° , y = 136° , z = 22°