Question

In ∆ABC, if AB=BC and angle B = 100° then angle C is equal to- *


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Answer 1

Step-by-step explanation:

As sum of triangle is 180°

A+B+C=180°

A+100+C=180

A+C=180-100

A+C=80

A=40

C=40

Answer 2

Answer:

The measure of angle C = 40°.

Step-by-step explanation:

Given that

AB = BC

⇒ ∠BAC = ∠BCA ( Since angles opposite to equal sides are equal)

Let the angles = x.

We know

Sum of angles of a triangle = 180° (By Angle Sum Property)

⇒∠ABC + ∠BAC + ∠BCA = 180°

⇒ 100° + x + x = 180°

⇒ 100° + 2x = 180°

⇒ 2x = 80°

⇒ x = 40°

⇒ ∠BCA = 40°

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