Question

unit 3 - logic and geometry, 8 of 34, this quiz: 34 point(s) possible, this question: 1 point(s) possible, find the measure of ∠x in the figure. the measure of ∠x is 25°

Explanation:

Step1: Identify angle relationships

The larger angle is \(80^\circ\), and one of its sub - angles is \(55^\circ\). The angle \(x\) and \(55^\circ\) add up to \(80^\circ\), so we can use the formula \(x + 55^\circ=80^\circ\).

Step2: Solve for \(x\)

To find \(x\), we subtract \(55^\circ\) from \(80^\circ\). So \(x = 80^\circ- 55^\circ\).
Calculating \(80 - 55=25\), so \(x = 25^\circ\).

Answer:

\(25^\circ\)