Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the measure of the missing angles. answer attempt 1 out of 2 b = ^…

Question

find the measure of the missing angles. answer attempt 1 out of 2 b = ^{circ} c = ^{circ}

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. Angle \(b\) and the \(153^{\circ}\) angle are vertical angles, so \(b = 153^{\circ}\).

Step2: Use supplementary - angles property

The sum of adjacent angles on a straight - line is \(180^{\circ}\). Since \(b + c=180^{\circ}\) and \(b = 153^{\circ}\), then \(c=180 - 153\).

Answer:

\(b = 153\)
\(c = 27\)