Question

3.
А
х
M
#
у
50°
у
B
C С
D
In the figure, AB = AC, B-C-D. Ray CM
bisects LACD, then x + y is ....
(A) 145° (B) 130° (C) 155° (D) 140°​

Answer 1

Answer:

145 degree

Step-by-step explanation:

this is becoz as AB=AC

angle abc =angle acb= 50 degree

now as angle acb+y+y= 180 degree

through linear pair

now

50+2y=180

2y=180-50

2y=130

y=65 degree

as abc=acb=50

abc+acb+x=180 degree

through angles in triangle they always eual to 180

50+50+x=180

100+×=180

×=180-100

×=80

×+y =80+65=145 degree

Answer 2

c) 145

ac= ab

b= 50

c= 50

a=80

c= 180-2y

2y= 180-50

2y=130

y= 65

x+y=65