Question

for questions 13 - 15, find the values of x and y if ( lparallel m ).
13.

Explanation:

Step1: Use the property of alternate - interior angles

Since \(l\parallel m\), the alternate - interior angles are equal. So, \(10x - 17=8x + 1\)

$$
LATEXBLOCK0
$$

Step2: Use the property of supplementary angles

The angle \((6y + 29)^{\circ}\) and \((8x + 1)^{\circ}\) are supplementary (they form a linear pair). Substitute \(x = 9\) into \(8x+1\), we get \(8\times9+1=73^{\circ}\)
Then \(6y+29+73 = 180\)

$$
LATEXBLOCK1
$$

Answer:

\(x = 9\) and \(y = 13\)