Question

Find x and y
ch-6 Triangles and it's properties​

Answer 1

Answer:

∠x = 70°

∠y = 50°

Step-by-step explanation:

Exterior ∠A and ∠x are vertically opposite angles.

• We know that vertically opposite angles are equal, so,

→ ∠A = 70° = ∠x

∴ ∠x = 70°

Now, we have ∠x = 70°, ∠B = 60°

• According to Angles Sum Property of Triangle, the sum of all the three angles in a triangle is 180°

So, by using the above property, we can say that,

→ ∠x + ∠B + ∠y = 180°

→ ∠y = 180 - (∠x + ∠B)

→ ∠y = 180 - (70 + 60)

→ ∠y = 180 - 130 = 50

∴ ∠y = 50°