Answer:
x = 23
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are to use the sine rule
But first, we need the measure of the last angle of the triangle
Mathematically, the sum of the angles in a triangle is 180
Thus;
B + 25 + 120 = 180
B + 145 = 180
B = 180-145
B = 35
Mathematically, we have the sine rule as; the ratio of the measure of the side of a triangle and the sine of the angle that faces the side is constant in a triangle
Thus, we have that
x/sin 120 = 15/sin 35
x sin 35 = 15 sin 120
x = (15 sin 120)/sin 35
x = 22.65
To the nearest whole number, x = 23
