Question

from the following figure find, x , angleABC and angle ACD.

Answer 1

x+4x+4x+3x+48=360
12x=360-48=312
x=312/12=26
Put the value of x you got the answer.
And to find angle ACD
Add the angle in triangle ACD
You get the answer.
In triangle ACD
4x+48+ACD=180
4×26+48+ACD=180
ACD=180-152=28

Answer 2

Step-by-step explanation:

find x

A = 48°

B = 4x

C = 3x

D = 4x

x+4x+4x+3x+48°=360°

12x+48°=360°

12x=360°-48°

12x=312

x=312/12=26

Therefore x = 26

find ABC

48°+ 4x+3x=360°

7x+48°=360°

7x=360°-48°

7x=312

x=312/7=104°

Therefore ABC=104°

find ACD

4x+48+ACD=180°

4*26+48+ACD=180°

152+ACD=180°

ACD=180°-152°

ACD=28°

Therefore ACD=28°

Thank You