Question

Find the value of x and y.

Answer 1

Answer:

Step-by-step explanation:

X + 40 = 180° ( straight line )

X = 140°

And as trainable is isosceles that's why angles opposite to equal side are equal... Therefore the unknown angles in the triangles will be equal to y

So... With the property if sum of the angles of triangles

40 + Y + Y = 180°

2Y = 140°

Y= 70°

Hope this may help u

Answer 2

x + 40 = 180 (linear pair)

x = 140

∵ Δ ABC is an isosceles triangle with AB = AC

⇒ ∠B = ∠C

   y = ∠C

∴ In ΔABC,

∠A+∠B+∠C = 180 (angle sum property)

40 + y + y = 180

2y = 180 - 140

y = 140/2 = 70

OR

x = y + y (exterior angle property)

140 = 2y

140/2 = 70 = y

SO

x= 140° and y=70°

HOPE THIS HELPS ^_^