Question

In a triangle ABC angle A=30°and. angle B=60°. then find. the angle. C

Answer 1

Answer:

angle C = 90

Step-by-step explanation:

in triangle ABC

angle A = 30

angle B = 60

A+B+C = 180

30+60+C= 180

90+C = 180

C = 180-90

C= 90

Answer 2

Given,

Triangle ABC,

Angle ∠A = $30^{0}$

Angle ∠B = $60^{0}$

To find,

Angle ∠C

Solution,

Triangle is a polygon with three edges,three vertices and three angles.

According to the angle sum property, sum of all the three angles in a triangle is $180^{0}$.

In triangle ABC, the angles are ∠A , ∠B , ∠C

∠A + ∠B + ∠C  = $180^{0}$

$30^{0}+60^{0}+C^{0} = 180^{0}$

$90^{0}+C^{0} =180^{0} \\\\C^{0} = 180^{0} - 90^{0}\\\\C^{0} = 90^{0}$

Since , one of the angle is $90^{0}$ , it is a right angled triangle.

Hence, ∠C in the triangle ABC is $90^{0}$.