Question

16.
360
In the adjacent figure, it is given that
AB=AC, angleBAC=36°, angleADB=45°
and angleAEC = 40°. Find (i) angle ABC
(ii) angleACB (ii) angleDAB (iv) angleEAC.
45°
40°
D
E
B В
С​

Answer 1

Answer:

I hope this will help you

Step-by-step explanation:

In △ABC

AB=AC

So △ABC is isoceles.

⇒∠ABC=∠ACB

∠BAC+∠ABC+∠ACB=180

∘

(Angle sum property of triangle)

36

∘

+∠ACB+∠ACB=180

∘

2∠ACB=180

∘

−36

∘

2∠ACB=144

∘

∠ACB=

2

144

∘

=72