Question

In the adjoining
figurs AC = CD. Find x, y, z, W.
905
C​

Answer 1

Answer:

x=180-80

=100 degree

z=180-(65+80)

w=65+80=145

Answer 2

Answer:

x= 90 y= 45 z= 25 w= 110

Step-by-step explanation:

Since AC= CD so triangle ACD is an isosceles triangle

So x =

90 + x =180 (linear pair)

So x = 180 - 90

X = 90

Now y =

90 + y + y = 180 (since ACD is an isosceles)

( triangle it's base angles)

( are equal so y = y)

So 90 + y + y = 180 (angle sum property)

90 + 2y = 180

2y = 90

y = 45

Now z =

90 + 65 + z = 180 (angle sum property)

155 + z = 180

z = 180 - 155

= z = 25

Now w =

65+ 90 = 155 ( exterior angle property)

If angle ACB is 90 degree