please give me an answer it is very importent to me
Answers
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°.
mark me as brainliest plzzzzzzzzzzzzzzzzzzz
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°.