Question

complete the statement. the measure of the exterior angle equals the sum of the measures of the non - adjacent interior angles. what is m∠5? m∠5 = \\(\square\\)°

Explanation:

Step1: Recall Linear Pair Property

A linear pair of angles sums to \(180^\circ\). The angle adjacent to \(70^\circ\) (forming a linear pair with \(\angle5\)) is \(70^\circ\).

Step2: Calculate \(m\angle5\)

Using the linear pair formula: \(m\angle5 + 70^\circ = 180^\circ\). Solving for \(m\angle5\), we get \(m\angle5 = 180^\circ - 70^\circ = 110^\circ\). Alternatively, using the exterior angle theorem (sum of non - adjacent interior angles: \(50^\circ+60^\circ = 110^\circ\), which should equal the exterior angle \(\angle5\)’s measure as per the theorem).

Answer:

\(110\)