Question

find the unknown angles​

Answer 1

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Answer:

Z :- 40

X :- 80

Y :- 50.

Step-by-step explanation:

AB = AD

therefore, 40 = Z

And in Triangle ABD.

40+40+angleABD = 180

Angle ABD = 100

therefore, x = 180 - 100

X = 80

And in. Triangle BCD.

angle y = angle BCD

therefore,

y + y + 80 =180

2y = 100

y = 50

Answer 2

Answer:

AB=BD

So, 40°= z(isosceles triangle property)

40+z=x(exterior angle property)

X=40+40

X=80°

y=angleC(since BD=BC)

And, x+y+C=180°(angle sum property)

x+2y=180

80+2y=180

2y=100

So,y=50

HOPE THIS HELPED YOU!!