In ∆ABC, if AB=BC and angle B = 100° then angle C is equal to- *
Answers
Answered by
8
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
Answered by
1
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°
Hope it helps!
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