Question

in the figure below, ( h parallel o ). find the values of ( x ) and ( y ).

Explanation:

Step1: Find the value of \(x\)

Since \(h\parallel o\), \(x\) and \(73^{\circ}\) are supplementary angles.
\(x + 73=180\)
\(x=180 - 73\)
\(x = 107\)

Step2: Find the value of \(y\)

\((4y-21)^{\circ}\) and \(x^{\circ}\) are vertical angles, so \(4y-21=x\).
Substitute \(x = 107\) into the equation:
\(4y-21=107\)
\(4y=107 + 21\)
\(4y=128\)
\(y=\frac{128}{4}\)
\(y = 32\)

Answer:

\(x = 107\), \(y = 32\)