Question

Find the value of the unknown x,y,z.​

Answer 1

Answer:

The correct answers are-

1. x = 80°, y = 100°, z = 80°
2. x = 130°, y = 130°, z = 130°
3. x = 90°, y = 60°, z = 60°
4. x = 100°, y = 80°, z = 80°
5. x = 28°, y = 112°, z = 28°

Step-by-step explanation:

Fig (i)- ABCD is a parallelogram.

•°• ∠A = ∠C & ∠D = ∠B

( °•° Opposite sides of a ||gram are equal)

i.e. z = x & y = 100° (1)

Now, y + x = 180°

( °•° Adjacent angles of a ||gram are supplementary)

100° + x = 180°

x = 180° - 100°

•°• x = 80°

From equation (1), we have

z = x

•°• z = 80°

Ans- x = 80°, y = 100°, z = 80°.

For fig (ii), (iii), (iv) and (v), please refer the attached images.

Adiós! Hope this helps you.

P.S. Try to solve it on your own as it will help you in the future.