Question

Plz solve these questions
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Answer 1

Answer:

Angle a = 29° and angle b = 29°.

Given:

In an isosceles triangle one angle = 122°.

To find:

Other angles of the triangle.

Solution:

It is an isosceles triangle.

Therefore, angle a = angle b.

Let us assume that angle a = x°

So, Angle b = angle a = x°

We know that sum of all angles of a triangle is 180°.

Therefore, 122°+x°+x° = 180°.

=> 122°+2x° = 180°.

=> 2x° = 180°-122°.

=> 2x° = 58°.

=> x = 58/2

=> x = 29.

Here, x = 29

Therefore, angle a = x° = 29°.

And, angle b = angle a = 29°.

Verification:

Sum of all angles of a triangle = 180°.

=> 122°+29°+29° = 180°.

=> 180° = 180°.

Here, LHS = RHS.

Hence, Verified.