Question

find the ans of following figure step by step​

Answer 1

88°

Explanation:

I will be denoting an angle just by three letters.

In the figure,

BAC and CED are alternate angles.

So, BAC = CED = 35°

For ACD, the two interior opposite angles are CED and CDE.

As exterior angle = sum of interior opposite angles,

ACD = CDE + CED

= 53° + 35°

So, ACD = 88°

Thus measure of angle ACD is 88°

Answer 2

Explanation:

angle ACD+angle ACB+angle BCE=180°(LINEAR PAIR)

110+32+x=180°

x=180-142

x=38

angle BCE=38°

AB||DE and taking AC as a transversal

angle ACD=angle CAB (ALTERNATE ANGLES)

And angle BCE=angle CBA (ALTERNATE ANGLES)

SO ANGLE A=32°

AND ANGLE B=38°