Question

IN triangle ABC , angle A=80 degree and AB =ac then angle c =

Answer 1

Step-by-step explanation:

Since AB = AC, Therefore the traingle is an isosceles traingle.

In an isosceles traingle, the angles opposite to equal sides are equal

So Angle B = Angle C

Let these angles b X

Given Angle A = 80

We know sum of angles of a triangle is 180

Therefore,

A + B + C = 180

80 + X + X = 180

2X = 100

X = 50

Angle C = 50

Answer 2

Explanation :

Let angle B = x

therefore, angle C = x [ coz AB = AC and we knw that, angle opposite to equal sides are equal ]

Now,

In ∆ABC

By using angle sum property,

Angle A + Angle B + Angle C = 180°

80 + x + x = 180

2x = 180-80 => 2x = 100 => x = 50

Therefore, Angle C = 50°

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