Question

. In the given figure, AC I CE and A: B : C = 3:2:1. Find the value of ECD.​

Answer 1

Answer:

30

Step-by-step explanation:

Let angle A, angle B, angle C be -3x, 2x, 1x

NOW,

A+B+C = 180

3x + 2x + 1x = 180

6x = 180

x = 180

6

x = 30

therefore ,

3x = 3*30 =90

2x = 2*30 =60

1x = 1*30 =60

NOW ,

<ACB + <ACE + <ECD = 180 (angles on a st.line)

60 + 90 + <ECD = 180

150 + <ECD =180

<ECD = 180-150

<ECD = 30

HOPE YOU FIND IT HELPFUL