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0 votes
34.2k views
in Triangles by (56.3k points)

In a Δ ABC, if ∠A = 120° and AB = AC. Find ∠B and ∠C.

2 Answers

+2 votes
by (30.5k points)
selected by
 
Best answer

To find: ∠ B and ∠ C. 

Here, Δ ABC is an isosceles triangle since AB = AC 

∠ B = ∠ C ……… (i) [Angles opposite to equal sides are equal] 

We know, sum of angles in a triangle = 180° 

∠ A + ∠ B + ∠ C = 180° 

∠ A + ∠ B + ∠ B= 180° (using (i) 

120° + 2∠B = 180° 

2∠B = 180° – 120° 

= 60° 

∠B = 30° 

Therefore, ∠ B = ∠ C = 30°.

+1 vote
by (55 points)
In triangle abc

Angle BAC is equal to 120 degree

Angle b is equal to angle c

Angle b is equal to x

Angle c is equal to x

Angle a + Angle b + angle c is equal to 180 degree

120 + x + x is equal to 180

2x is equal to 60 degree

X is equal to 30

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