Question

Find the values of x and y.

(10x – 61)°

(18y + 5)°

(x + 10)°

Answer 1

x=21 y=8

Explanation:

Answer 2

Part 1) The value of x is 21

Part 2 The value of y is 8

Explanation:

step 1

Find the value of x

we know that

`(10x-61)\°+(x+10)\°=180\°` ------> by supplementary angles (linear pair)

`11x-51=180`

`11x=180+51`

`11x=231`

`x=21`

step 2

Find the value of y

we know that

`(10x-61)\°=(18y+5)\°` ----> by vertical angles

substitute the value of x and solve for y

`(10(21)-61)\°=(18y+5)\°`

`(149)\°=(18y+5)\°`

`18y=149-5`

`18y=144`

`y=8`