Question

ABllCD AF is the bisector of angle GDC find x and y
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Answer 1

Answer:

x = 30 degrees, y = 150 degrees

Step-by-step explanation:

Angle GEA + GEB = 180 degrees (Linear Pairs)

So GEA = 180 - 120 = 60 degrees

Angle GDC = 60 degrees (corresponding angles, AB||CD, GD is transversal.

AF bisects angle GDC, so GDA + ADC = 60 degrees. GDA = 30 degrees.

From Triangle EDA, angle E + angle D + angle A (x) = 180 degrees (angle sum property of triangle)

So, x = 30 degrees.

Since ADF is a straight line, Angles lying on the line, sum up to 180.

w.k.t.,

        GDA = 30 degrees,

GDA + GDF (y) = 180 degrees.

y = 180 - 30 = 150 degrees.

So, y = 150 degrees.

Hope it’s explained well.

Thanks.

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