Question

The circular measure of two angles of a triangle are 1/2 and 1/3 . Find the third angle in english system.

Answer 1

I attach the answer. Answer also be 2.30radian

Answer 2

Given that,

First angle $A=\dfrac{1}{2}$

Second angle $A=\dfrac{1}{3}$

We need to convert the angle in degree

Using formula for degree

For angle A

$\angle A=\dfrac{1}{2}\times\dfrac{180}{\pi}$

$\angle A=28.64^{\circ}$

For angle B

$\angle B=\dfrac{1}{2}\times\dfrac{180}{\pi}$

$\angle B=19.09^{\circ}$

We need to calculate the third angle of triangle

Using formula of triangle

$\angle A+\angle B+\angle C=180$

$28.64+19.09+\angle C=180$

$\angle C=180-28.64-19.09$

$\angle C=132.27^{\circ}$

We need to calculate the angle C convert in radian

Using formula for radian

$\angle C=132.27\times\dfrac{\pi}{180}$

$\angle C=2.30\ rad$

Hence, The angle C convert in radian is 2.30 rad.