Question

In the figure AE bisect angle BAD and AF bisect angle CAD show that angle EAF=90

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

∠EAF = 90°

Step-by-step explanation:

Given, that AE bisects the angle BAD,

Let angle BAD = x

therefore angle BAE = x/2 and angle EAD = x/2

Given, that AF bisect angle CAD,

Let angle CAD = y

therefore angle CAF = y/2 and angle DAF = y/2

we know that sum of the angles on a linear pair is equal to 180,

therefore ∠BAD +  ∠CAD = 180°

∠BAD/2 +  ∠CAD/2 = 180/2

x/2 + y/2 = 90°

∠EAD + ∠DAF = 90 (From above)

∠EAF = 90° (from figure)

Hence proved.

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