Question

find the measure of angles a, b, c, and d. part 1 of 4 ( m angle a = )

Explanation:

Step1: Use the property of supplementary angles

We know that the sum of angles on a straight line is \(180^{\circ}\). For angle \(a\), if we assume the straight - line property and the given angles \(18^{\circ}\) and \(11^{\circ}\), we have \(a+18^{\circ}+11^{\circ}=180^{\circ}\).

Step2: Solve for \(a\)

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Step3: Use the property of vertical angles

Vertical angles are equal. So \(a + d=180^{\circ}\) (linear - pair) and \(b = 11^{\circ}\), \(c=18^{\circ}\) (vertical angles with the non - \(a\) angles on the other side of the intersection)

Answer:

\(m\angle a = 151^{\circ}\), \(m\angle b=11^{\circ}\), \(m\angle c = 18^{\circ}\), \(m\angle d=29^{\circ}\)