Question

In the figure,HOPE is a parallelogram .find the angle measure of angles x,y,z

Answer 1

Since HOPE is a parallelogram, therefore, HE∥OP and

HO∥EP

Now, HE∥OP and transversal HO intersects them.

∴∠EHO=∠POX[∵ Corresponding angles are equal]

∠40°+z=70°

⇒z=70°−40°=30°

Again, HE∥OP and transversal HP intersects them.

∴∠OPH=∠EHP[∵ Alternate angles are equal)

⇒y=40°

Since opposite angles are equal in a parallelogram.

∴∠HEP=∠HOP

⇒x=180°-∠POX=180°−70°

=110°

Hence, x=110•,y=40°

and z=30°

please mark me as brainly.....