Question

Hii!!
Class 9

In the adjacent figure RISE is a parallelogram. Find measures of x y and z. ​

Answer 1

Hello!✌

Adiba here❤

In triangle ISE

$y + z =80 \: degree$

[Exterior angle = Sum of interior opposite angles.]

Angle ISE

$180 \: degree - (y + z)$

$180 \: degree - 80 \: degree =1 00 \: degree$

Since,the opposite angles in parallelogram are equal.

x = Angle ISE

x = 100 degree

Now,SE is parallel to IP and IE is transversal.

y = 50 degree(Alternate angles are equal)

Substituting y = 50 degree in y+z = 80 degree , we get :

$50 \: degree + z = 80 \: degree$

$z = 80 \: degree - 50 \: degree$

$z = 30 \: degree$

Thus,

x = 100 degree

y = 50 degree

z = 30 degree

Hope this helps

@adiba31☺❤