Question

use the diagram below to answer the questions.
find ( m angle h g f ).

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(7t + 27=62\).

Step2: Solve for \(t\)

Subtract \(27\) from both sides: \(7t=62 - 27\), \(7t = 35\). Then divide by \(7\): \(t=\frac{35}{7}=5\).

Step3: Find \(m\angle HGF\)

\(m\angle HGF = 180^{\circ}-62^{\circ}\) (linear - pair angles). \(m\angle HGF=118^{\circ}\).

Answer:

\(118^{\circ}\)