If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below. Find the value of ∠AGE is
1 answer:
Answer:
<h3>135°</h3>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°
<em>Hence the value of ∠AGE is 135°</em>
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