Math, asked by sj2512391, 3 months ago

answer the this question​

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Answers

Answered by Anonymous
2

Explanation with answer:

Given:

ABC is a triangle

AB = AC

∠A = 40° (given in figure)

In an isosceles triangle, the base angles are equal.

∠A = 40°

So,

Base angles are ∠B and ∠C

· According to the angle sum property of trianle, sum of all angles in a triangle = 180°

Let one base angle be 'a'

Since base angles in an isosceles triangle,

So,

the other base angle is also = 'a'

According to angle sum property of triangle,

40° + a + a = 180°

2a = 140°

a = 70°

Hence, both base angles = 70°

Now,

To find 'x' and 'y', we shall use the "Linear Pair Axiom"

It means that the sum of angles lying on the same ray = 180°

So,

According to linear pair axiom,

a = 70°, and 'x', lie on the same ray...

So,

70 + x = 180

x = 110°

Now,

Since, base angles are equal,

therefore,

y = 110°

∴ x = 110° and y = 110°

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