Final answer:
In a triangle, the sum of all interior angles is always 180 degrees. In this case, add the measures of angle A and B, subtract it from 180 to find the measure of the third angle, angle C. Therefore, the measure of angle C is 22°.
Step-by-step explanation:
In Mathematics, specifically in the study of Geometry, we learn that the total sum of angles in a triangle is always 180 degrees. If you already know the measures of two angles, you can eaisly find the third by subtracting the sum of the known angles from 180. In this case, angles A and B are given, ∠A=58° and ∠B=100°. You find the measure of ∠C by subtracting the sum of ∠A and ∠B from 180.
Here's how to calculate it:
- First, find the sum of ∠A and ∠B, which is 58°+100° = 158°.
- Next, subtract this sum from 180° to find ∠C. So, ∠C= 180° - 158° = 22°.
Therefore, the measure of ∠C in this triangle is 22°.
Learn more about Angles in Triangle