Question

In triangle ABC angle A-40 degree angle B- 70 degree then measure of angle c is..

Answer 1

it is given that AB=AC

so it is an isosceles triangle

so angle B = angle C

now

angle A + angle B + angle C = 180

40 + X + X =180

40 + 2X =180

2X =180 - 40

2X = 140

X = 70

hence angle B = angle C = 70 degree

Answer 2

Concept:

Angle sum property of a triangle: This property states that the sum of all the three angles of a triangle is equal to 180°.

∠A+∠B+∠C=180°

If any two of the angles of a triangle are known to us, then we can easily calculate the third angle.

Given:

In ΔABC,

∠A=40°

∠B=70°

Find:

The value of angle C.

Solution:

According to the angle sum property,

∠A+∠B+∠C=180°

Here, we are given the values of angles A and B, we can easily calculate the value of angle C using this “angle sum property of a triangle”.

∠C=180°-(∠A+∠B)

∠C=180°-(40°+70°)

∠C=180°-110°

∠C=70°

Hence, the value of angle C = ∠C=70°.

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