Question

20. In the given figure,
ACD is a straight
line AC = CB and
BF||DE. Find ZBAE
A. 42° 0
B. 84°
C. 39
D. None of these​

Answer 1

Answer:

d none of these because it is mention above hgh

Answer 2

Answer:

The correct answer is ( D) None of these

Step-by-step explanation:

Given that:

In Δ ACD a straight line

AC = CB   &   BF|| DE.

To find:

Angle ABAE =?

Solution:

In Δ ACB,

Let us take, AC = CB

Here,

∠ABC = ∠ ACB -------(1)

It is due to angles are in opposite side and have equal sides.

∠ACD+ ∠ACB = 180° ---------(2)

It is due to DCB is in a straight line

∠ ABC +∠ CBE = 180° ---------(3)

It is due to ABE is in a straight line.

From equation 2 & 3:

∠ACD+ ∠ACB = ∠ABC+∠CBE

Deriving from equation 1, we get,

∠ACD+ ∠ACB = ∠ACB+∠CBE

Therefore,

∠ACD = ∠CBE

Let us again take,

∠AEC =∠ EAG = 20°

∠BAG = 50 -20 =30°

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