Question

AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below.
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Answer 1

ǫᴜᴇsᴛɪᴏɴ →

AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below.

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:

• Now since AB || CD, so:

∠AGE = ∠GED = 135°

• Because of Alternate Interior Angles Property.

ᴀɴsᴡᴇʀ →

So the value of ∠AGE is 135°.