Question

1. what is the measure of angle abe?

unit 1 lesson 19 cumulative practice problems
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Explanation:

Step1: Identify the relationship between angles

Angle \(ABE\) and the \(40^{\circ}\) angle are supplementary (they form a linear pair).

Step2: Use the supplementary - angle formula

If two angles \(\alpha\) and \(\beta\) are supplementary, then \(\alpha+\beta = 180^{\circ}\). Let \(\alpha=\angle ABE\) and \(\beta = 40^{\circ}\). So, \(\angle ABE=180^{\circ}-\beta\).
Substitute \(\beta = 40^{\circ}\) into the formula: \(\angle ABE=180^{\circ}- 40^{\circ}\).

Answer:

\(140^{\circ}\)