Question

In the given parallelogram, find x, y and z.
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Answer 1

Answer:

Here, The value of Angle(x) is 28°,Angle(y)=112° and Angle(z)=152°.

Step-by-step explanation:

Here, As per our given question,

As Given figure is a parallelogram ABCD,

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

Now, As we see in the triangle ABD,

=Angle(y)+40°+Angle(x)=180° (Angle-sum property of a triangle)

=112°+40°+Angle(x)=180°

=Angle(x)=180°-152°

=Angle(x)=28°

Now, Angle(x)+Angle(z)=180° (Alternate interior angles)

=28°+Angle(z)=180°

=Angle(z)=180°-28°

=Angle(z)=152°

Hence, The value of Angle(y)=112°,Angle(x)=28°,

Angle(z)=152°.

Thank you.