Question

two angles of triangle are 5pi/9and 5pi/18 find the degreeand radian measure of third angle.​

Answer 1

Step-by-step explanation:

$Angle 1 =\frac{5π}{9}=\frac{5*180°}{9}=100°$

$Angle 2=\frac{5π}{18}=\frac{5*180°}{18}=50°$

$angle 1 + angle 2 + angle 3 = 180°$

$100° + 50° + angle 3 = 180°$

$angle 3 = 180° - 150°$

$angle 3 = 30°$

$angle 3 = 30°×\frac{π}{180°}=\frac{π}{6}Radian$