Question

two angles of a triangle are 5\pi radian upon 9 5\pi radian upon 18. find the degree and radian measure of the third angle.

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Answer 1

Answer:

π/6 radian  & 30°

Step-by-step explanation:

Given Data :

Two angles of a triangles are provided

5π/9  & 5π/18

We need to find degree and radian measure of the third angle.

We know sum of angle of triangle = 180° = π radian

Let say third angle would be C radian

then  5π/9 + 5π/18 + C = π

Multiplying by 18 both sides

=> 10π + 5π  + 18C = 18π

=> 18C = 3π

=> C = 3π/18

=> C = π/6

Third angle would be π/6 radian

in degrees = 180°/6 = 30°