Question

In the diagram below, anis parallel to cd . Use the diagram to find the unknown angles and name the type of the angles.

Answer 1

We have two parallel lines crossed by a transversal.

c-

w and 25° are alternate interior angles.

Alternate interior angles are equal.

w= 25°

b.

z and 25 are supplementary angles, both add to 180°.

z + 25 =1 80

z= 180 - 25

z = 155°

a.

x and z are vertical angles. vertical angles are equal

x = z

x= 155°