Question

Find the values of the variables

Answer 1

x = 31 and y= 11

Explanation:

Since sum f angles on a straight line is 180°, hence;

2x+8+3x+17 = 180

Collect like terms

5x+25 = 180

5x = 180-25

5x = 155

x = 155/5

x = 31°

Similarly;

3x+17+5y+15 = 180

Substitute x = 31 into the equation

3(31)+17+15+5y = 180

93+32+5y = 180

125+5y =180

5y = 180-125

5y = 55

y = 55/5

y = 11°

Hence x = 31 and y= 11