Question

What is the value of x + y?

Answer 1

60

Explanation:

`3x + 55 = 85 \: (angles \: in \: linear \: pair) \\ \\ \implies \: 3x = 85 - 55 \\ \\ \implies \: 3x = 30\\ \\ \implies \: x = (30)/(3) \\ \\ \implies \: x = 10 \\ \\ \\ 2y - 5 = 95 \: (angles \: in \: linear \: pair) \\ \\ \implies \: 2y = 95 + 5\\ \\ \implies \: 2y = 100\\ \\ \implies \: y = (100)/(2) \\ \\ \implies \: y = 50 \\ \\ \\ x + y = 10 + 50 \\ \\ \huge \red{ \implies \: x + y = 60 }`

Answer 2

60

Explanation:

2y-5+85=180

(the angle between any two points in one line equals 180 degrees)

y=50

3x+55+95=180

x=10

x+y=60