Question

Find the measures of all angles and sides.

Given:
Angle 1 = 98 degrees
Angle 2 = 82 degrees
Angle 3 = ?

Answer 1

The sum of the provided angles exceeds 180 degrees, which is not possible for a triangle. There seems to be an error in the given measurements. Typically, to find the third angle of a triangle, you subtract the sum of the two known angles from 180 degrees.

Step-by-step explanation:

To find the measure of Angle 3, we can use the fact that the sum of the angles in a triangle always equals 180 degrees. Given Angle 1 is 98 degrees and Angle 2 is 82 degrees, we can calculate Angle 3 as follows:

1. Add the measures of Angle 1 and Angle 2: 98 + 82 = 180 degrees.
2. Subtract this sum from 180 degrees to find Angle 3: 180 - 180 = 0 degrees.

This calculation is obviously incorrect because the angles provided add up to more than 180 degrees, which is not possible for a triangle. It appears there might be a typo in the given angle measurements as they add up to more than 180 degrees, which contradicts the triangle angle sum theorem. Typically, if given two angles of a triangle, one would subtract their sum from 180 to find the third angle.

For example, if Angle 1 were 98 degrees and Angle 2 were 42 degrees, Angle 3 would be calculated as:

Add the measures of Angle 1 and Angle 2: 98 + 42 = 140 degrees.

1. Subtract this sum from 180 degrees to find Angle 3: 180 - 140 = 40 degrees.