Question

PLEASE HELP
ANSWER QUICK

Answer 1

Answer: I think x is 19 degrees.

(Sorry if I'm wrong)

Answer 2

x = 19

Explanation:

From observation of the given diagram, we can see that lines XW and YZ are parallel. Considering line segment XY as a transversal, we can conclude that angles X and Y are same-side consecutive interior angles, implying their sum equals 180°.

Therefore, to determine the value of x, set the sum of the expressions of ∠X and ∠Y to 180° and solve for x:

`\begin{aligned}m\angle X + m\angle Y &= 180^(\circ)\\\\(3x - 5)^(\circ) + (2x + 90)^(\circ) &= 180^(\circ)\\\\3x - 5 + 2x + 90 &= 180\\\\5x + 85 &= 180\\\\5x + 85 - 85 &= 180 - 85\\\\5x &= 95\\\\(5x)/(5) &= (95)/(5)\\\\x &= 19\end{aligned}`

Therefore, the value of x is 19.