The measure of angle C is determined as 40⁰.
The value of side a is determined as 32.97.
The value of side b is determined as 13.97.
How to calculate the value of the missing angles and side lengths?
The value of angle C is calculated by applying sine rule as follows;
sin (118) / a = sin (C) / 24
The measure of angle C is calculated as follows;
A + B + C = 180 (sum of angles in a triangle)
118 + 22 + C = 180
140 + C = 180
C = 180 - 140
C = 40⁰
The value of side a is calculated as;
sin (118) / a = sin (40) / 24
a = (sin 118 / sin 40) x 24
a = 32.97
The value of side b is calculated as;
sin (22) / b = sin (40) / 24
b = (sin 22 / sin 40) x 24
b = 13.97