Question

finding angle measures use the figure at the right. 27. if m∠8 = 26°, then m∠7 = ?

Explanation:

Step1: Identify angle relationship

∠7 and ∠8 are adjacent and form a linear pair, so they are supplementary (sum to \(180^\circ\)).

Step2: Calculate \(m\angle7\)

Use the supplementary angle formula: \(m\angle7 = 180^\circ - m\angle8\). Substitute \(m\angle8 = 26^\circ\):
\(m\angle7 = 180^\circ - 26^\circ = 154^\circ\).

Answer:

\(154^\circ\)