Question

find the values of x and y if l || m.

Answer 1

Answer:

• x=9

,

• y=13

Explanation:

Using the diagram below:

$\begin{gathered} 10x-17=8x+1\text{ (Corresponding angles)} \\ 10x-8x=1+17 \\ 2x=18 \\ x=\frac{18}{2} \\ x=9 \end{gathered}$

Next, using the sum of angles on a straight line:

$\begin{gathered} (6y+29)+(8x+1)=180\degree \\ (6y+29)+(8(9)+1)=180\degree \\ 6y+29+72+1=180\degree \\ 6y+102=180\degree \\ 6y=180-102 \\ 6y=78 \\ y=\frac{78}{6} \\ y=13 \end{gathered}$

The values of x and y are 9 and 13 respectively.