Question

what is answer
wrong answers will get reported

Answer 1

Answer:

Given

• ABC is right angle with 90°
• BAC and ACB are base angles, so they are equal

BAC = x

= x + x + 90° = 180°

= 2x + 90° = 180°

= 2x = 180° - 90°

= 2x = 90°

= x = 90/2

= x = 45

answer : ABC = 90°

BCA = 45°

BAC = 45°

= 180

Answer 2

ANSWER :-

• x = 45°

GIVEN :-

• ∆ABC is right angled at B. ∠ABC = 90°.
• AB = BC . Hence , ∆ABC is an isosceles triangle.

TO FIND :-

• Value of x.

TO KNOW :-

• Isoscales triangle has 2 sides equal.
• Angles opposite of equal sides are also equal. So, base angles of isoscales triangle is equal.
• Angle Sum Property :- Sum of all interior angles of a triangle is 180°.

HOW TO SOLVE ?

• As ∆ABC is isoscales triangle , base angles, ∠BAC and x are equal. We will use Angle Sum Property , and we will add all the interior angles .Sum of these angles is 180°. We will substitute ∠BAC as x ( both are equal ) and we will find the value of x.

SOLUTION :-

By angle Sum Property ,

∠ABC + ∠BAC + x = 180°

Substituting values , we get...

→ 90 + x + x = 180° (as ∠BAC = x)

→ 90 + 2x = 180°

→ 2x = 180 - 90

→ 2x = 90°

→ x = 45°

Hence , value of x is 45°.

VERIFICATION :-

As x = ∠BAC ,

∠BAC = 45°

Adding all angles , sum should be 180.

➔ ∠ABC + ∠BAC + x = 180

➔ 90 + 45 + 45 = 180

➔ 180 = 180 (verified)