Question

find the measure of the angle.
82.
image of a coordinate plane with an angle between the y-axis and a line, labeled 65°, and multiple choice options: a. 155°, b. 315°, c. 90°, d. 205°

Explanation:

Step1: Identify right angle

The angle between x and y axes (perpendicular) is \(90^\circ\).

Step2: Add to given angle

The given angle with y - axis is \(65^\circ\), so total angle from positive x - axis (counter - clockwise) is \(90^\circ+ 65^\circ=155^\circ\).

Answer:

a. \(155^\circ\)