Question

10. In Fig. 10.31, AC I CE and measures of ZA, ZB and ZC of AABC are in the ratio of 3:2:1. Find the measure of LECD. А E B С D​

Answer 1

Answer:

$\huge\red{Answer}$

Let

A,

B and

C be 3x, 2x and x respectively.

3x +2x +x = 180o (angle sum of

)

6x = 180o

x = 30

A = 90o,

B = 60o and

ACB =30o

Now,

ACB +

ACE +

ECD = 180o (angles on a straight line)

30o + 90o +

ECD = 180o

ECD = 180o – 120o = 60o

Hence,

ECD = 60o

Answer 2

Answer:

30° + 90° + ECD = 180°.

ECD = 180° - 120°.

ECD = 60°.