Question

In the given figure ABCD is a parallelogram .Find the measure of angles x, y and z.

State the property used to find them.​

Answer 1

Answer:

x = 28°, y = 112°, z = 28°

Step-by-step explanation:

y= 112° (opposite angles of a parallelogram are equal)

We know that the diagonals of a parallelogram divides it into 2 congruent triangles

In triangle DAC,

y + 40° + x = 180° (Angle Sum Property)

112° + 40° + x = 180°

x = 28°

We know that opposite sides of a parallelogram are parallel

So, DC||AB ; DA||CB

Now, we get

x = z (Alternate Interior Angles)

z = 28°

Hope it helps!!

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