Math, asked by roopahy, 2 months ago

please give me an answer it is very importent to me​

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Answers

Answered by infinity19756
1

Answer:

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°.

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Answered by ibdhanush2006
1

Answer:

135° .

Step-by-step explanation:

Find the diagram attached  From the given diagram, since AB is parallel to CD, this means both lines have similar properties.

For the triangle GEF, AFB, ∠GEF = ∠GED - ∠FED

Given ∠GED = 135 and ∠FED = 90

∠GEF = 135-90

∠GEF = 45° .

Also, sum of angle in the triangle GEF is 180°, hence;

∠GEF + ∠EGF + ∠GFE = 180°

45°+∠EGF+90° = 180°

∠EGF+135° = 180°

∠EGF = 180-135

∠EGF = 45° .

since the sum of angle on the straight line AGF = 180°, then;

∠AGE+∠EGF = 180°

∠AGE+45° = 180°

∠AGE = 180°-45°

∠AGE = 135°

Hence the value of ∠AGE is 135°.

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