Question

HELP ME FIND X AND Y

Answer 1

<EOG =90° AS INDICATED IN THE DIAGRAM

<EOF+<FOG=<EOG(THEY MAKE THE ANGLE)

`27 + 3y = 90 \\ 3y = 90 - 27 \\ 3y = 63 \\ (3y)/(3) = (63)/(3) \\ y= 21`

<AOB =180°( STRAIGHT LINE )

<AOE+EOF+<FOG+<GOB=<AOB(THWY MAKE THE ANGLE)

`x + 27 + 3(21) + 8x + 18 = 180`

`x + 27 + 63 + 8x + 18 = 180 \\ x + 8x + 27 + 63 + 18 = 180 \\ 9x - + 108 = 180 \\ 9x = 180 - 108 \\ 9x =72 \\ (9x)/(9) = (72)/(8) \\ x = 9`

ATTACHED IS THE SOLUTION