Question

find the measure of the missing angles.
answer
attempt 1 out of 3
d = □° e = □° f = □°

Explanation:

Step1: Find the measure of \(d\)

Use the property that the sum of angles forming a straight line is \(180^{\circ}\).
\(d + 124^{\circ}=180^{\circ}\)
\(d = 180^{\circ}- 124^{\circ}=56^{\circ}\)

Step2: Find the measure of \(e\)

Use the fact that \(d + 27^{\circ}+e=180^{\circ}\) (angles on a straight line).
Substitute \(d = 56^{\circ}\) into the equation: \(56^{\circ}+27^{\circ}+e=180^{\circ}\)
\(e=180^{\circ}-(56^{\circ}+27^{\circ})=180^{\circ}-83^{\circ}=97^{\circ}\)

Step3: Find the measure of \(f\)

Use the property that \(e + f=180^{\circ}\) (angles on a straight line).
\(f = 180^{\circ}-e\)
Substitute \(e = 97^{\circ}\) into the equation: \(f=180^{\circ}-97^{\circ}=83^{\circ}\)

Answer:

\(d = 56^{\circ}\), \(e = 97^{\circ}\), \(f = 83^{\circ}\)