Question

use the diagram below to answer the questions.
find ( m angle b d h ).

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The angle \(135^{\circ}\) and \((7t + 79)^{\circ}\) are vertical angles. So, \(7t+79 = 135\).
Solve for \(t\):

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Step2: Find \(m\angle BDH\)

\(\angle BDH\) and \(135^{\circ}\) are supplementary angles (they form a linear - pair). The sum of angles in a linear - pair is \(180^{\circ}\).
Let \(m\angle BDH=x\), then \(x + 135^{\circ}=180^{\circ}\)

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Answer:

\(45^{\circ}\)