Question

If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below. The value of ∠AGE is: 1 point Captionless Image 120° 140° 90° 135°

Answer 1

Given: AB || CD, EF ⊥ CD and ∠GED = 135°

To find: The value of ∠AGE?

Solution:

• Now we have given that AB is parallel to CD .

• So from this we can say that GE is a transversal.

• We have also given that EF is perpendicular to CD and ∠GED is given as  135°.

• Now since AB || CD, so:

              ∠AGE = ∠GED = 135°

• Because of Alternate Interior Angles Property.

Answer:

            So the value of ∠AGE is 135°.

Answer 2

Answer:

135°.

Step-by-step explanation:

Given: AB || CD, EF ⊥ CD and ∠GED = 135°

To find: The value of ∠AGE?

Solution:

Now we have given that AB is parallel to CD .

So from this we can say that GE is a transversal.

We have also given that EF is perpendicular to CD and ∠GED is given as  135°.

Now since AB || CD, so:

             ∠AGE = ∠GED = 135°

Because of Alternate Interior Angles Property.

So the value of ∠AGE is 135°.