Question

2 from unit 1, lesson 19 what is the measure of angle abe? mark it up on the image. 3 from unit 1, lesson 19

Explanation:

Step1: Identify the relationship between angles

Angle \(ABE\) and the \(50^{\circ}\) 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 \(\beta = 50^{\circ}\). So, \(\angle ABE+50^{\circ}=180^{\circ}\).

Step3: Solve for \(\angle ABE\)

Subtract \(50^{\circ}\) from both sides of the equation: \(\angle ABE=180^{\circ}- 50^{\circ}\).

Answer:

\(130^{\circ}\)