Question

(2y + 50)" (7x - 248) (5y - 17) (x +44)° Find the value of x and y.

Answer 1

Answer:

x = 48

y = 21

Step-by-step explanation:

To find the value of x and y, using the definition of supplementary angles, create an equation to find x and y as follows:

Finding y:-

$(2y + 50) + (5y - 17) = 180$ (supplementary angles definition)

Solve for y

$2y + 50 + 5y - 17 = 180$

Collect like terms

$2y + 5y + 50 - 17 = 180$

$7y + 33 = 180$

$7y + 33 - 33 = 180 - 33$

$7y = 147$

$\frac{7y}{7} = \frac{147}{7}$

$y = 21$

Finding x:-

$(7x - 248) + (x + 44) = 180$ (supplementary angles definition)

Solve for x

$7x - 248 + x + 44 = 180$

Combine like terms

$8x - 204 = 180$

$8x - 204 + 204 = 180 + 204$

$8x = 384$

$\frac{8x}{8} = \frac{384}{8}$

$x = 48$