Question

m∠jea = 50° and m∠jel = 130° find m∠ael. find the missing angle.

Explanation:

Step1: Identify the angle relationship

We know that the sum of angles around a point or in a linear relationship (if they are supplementary or form a larger angle) can be used. Here, we have \( m\angle JEA = 50^\circ \) and \( m\angle JEL = 130^\circ \), and we need to find \( m\angle AEL \). Notice that \( \angle JEL \) is composed of \( \angle JEA \) and \( \angle AEL \), so \( m\angle JEL = m\angle JEA + m\angle AEL \).

Step2: Solve for \( m\angle AEL \)

Rearrange the formula: \( m\angle AEL = m\angle JEL - m\angle JEA \). Substitute the given values: \( m\angle AEL = 130^\circ - 50^\circ \).

Step3: Calculate the result

\( 130 - 50 = 80 \), so \( m\angle AEL = 80^\circ \).

Answer:

\( 80^\circ \)