Question

Two angles of a triangle are 5pi/36 and
5pi/18 Find the degree and radian measure​

Answer 1

Answer:

Step-by-step explanation:

Let the angles of triangle be A, B & C such that A = 5pi/36, B = 5pi/18.

As sum of angles of a triangle is 180degree = pi radian

we get,

A + B + C = pi or 180 degree

or, 5 pi/36 + 5 pi/18 + C = pi

or, (5 pi + 2x5pi)/36 + C = pi

or, 15pi/36 + C = pi

or, C = pi - 15pi/36

= (36pi - 15pi)/36

= 7pi/12 or 7 x 180 degree/12 = 105 degree. Ans.