Question

1. two angles form a linear pair (same line). one angle measures 140°. find the other angle.

Explanation:

Step1: Recall linear pair property

A linear pair of angles are supplementary, meaning their sum is \(180^\circ\). Let the unknown angle be \(x\). So, we have the equation \(140^\circ + x = 180^\circ\).

Step2: Solve for the unknown angle

Subtract \(140^\circ\) from both sides of the equation: \(x = 180^\circ - 140^\circ\). Calculating the right - hand side, we get \(x = 40^\circ\).

Answer:

The measure of the other angle is \(40^\circ\)