Question

PLEASEE HELPP MEE IN MATH WITH THIS PROBLEM PLEASEEE!!!!

Answer 1

We have been given a graph. We are asked to find the values of x,y and z.

We will use parallel line's angles to solve our given problem.

We know that corresponding angles of parallel lines are equal.

We can see that angle $2x+3$ and 67 are corresponding angles, so we can set an equation as:

$2x+3=67$

$2x+3-3=67-3$

$2x=64$

$\frac{2x}{2}=\frac{64}{2}$

$x=32$  

Therefore, the value of x is 32.

We know that interior angles on same side of transversal are supplementary.

We can see that $3y+5$ and 67 are interior angles, so we can set an equation as:

$3y+5=67$

$3y+5-5=67-5$

$3y=62$

$\frac{3y}{3}=\frac{62}{3}$

$y=\frac{62}{3}$

Therefore, the value of y is $\frac{62}{3}$.

We can set an equation for angle z as:

$4z+13=2x+3$

$4z+13-13=2x+3-13$

$4z=2x-10$

Upon substituting value of z, we will get:

$4z=2(32)-10$

$4z=64-10$

$4z=54$

$\frac{4z}{4}=\frac{54}{4}$

$z=13.5$

Therefore, the value of z is 13.5.