Question

The measure of two angles of a triangle are 85 degrees and 73 degrees. Find the measure of the third angle.

A) 30 degrees

B) 10 degrees

C) 12 degrees

D) 22 degrees

Answer 1

By summing the given angles of 85 and 73 degrees and subtracting from 180 degrees, the total sum of angles in a triangle, we find that the third angle measures 22 degrees.

Step-by-step explanation:

To find the measure of the third angle in a triangle when you know the measures of the other two angles, you can use the fact that the sum of the angles in a triangle is always 180 degrees. Given that two angles of the triangle are 85 degrees and 73 degrees, you can add them together and subtract from 180 to find the third angle:

85 degrees + 73 degrees = 158 degrees

Now subtract the sum of the known angles from the total degrees in a triangle:

180 degrees - 158 degrees = 22 degrees

Therefore, the measure of the third angle is 22 degrees.