Question

class 8th.Find the values of x, y and z in the given figure.​

Answer 1

Answer:

130°

Step-by-step explanation:

In the given figure SRPQ is a parallelogra.

The opposite sides of the parallelogram is equal.

Hence, angle PQR = 50°

anglePQR + angle z = 180°(as PQ is a straight line)

=> 50° + z =180°

=> z = 180- 50 = 130°

In the given figure angle x, y and z are equal.

Answer 2

Give: figure

To find:  values of x, y, and z

Solution:

We can see that SR is parallel to PQ and SP is the transversal in between.

Angle RSP= Angle QPS= 50 degrees as they are corresponding angles.

X= 50 DEGREES

Z= X +50 as the same of the exterior angle is equal to the opposite interior angles.

Z= 50+50 = 100 DEGREES

Angle RQP= 180 DEGREES- ANGLE Z ( Angles on a straight line property)

Angle RQP= 180-100= 80 degrees

Angle y= angle RQP = 80 (Corresponding angle property)

X=50 degrees

Y= 80 degrees

Z= 100 degrees