Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the movement of the progress bar may be uneven because questions can be…

Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
find the measure of the \\( \angle a e c \\) that is supplementary to \\( \angle a e d \\) in the diagram below. enter only the number.
the solution is

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). So, if \(\angle AED = 65^{\circ}\), and \(\angle AEC\) is supplementary to \(\angle AED\), then \(\angle AED+\angle AEC = 180^{\circ}\).

Step2: Solve for \(\angle AEC\)

Using the equation \(\angle AEC=180^{\circ}-\angle AED\). Substitute \(\angle AED = 65^{\circ}\) into the equation: \(\angle AEC=180 - 65\).

Answer:

115