Question

The sum of the angles in a triangle adds up to 180 degrees. If one angle measures 65 degrees and the other angle measures 73 degrees, what is x - the missing angle (the 3rd angle)?

A) 42 degrees
B) 52 degrees
C) 62 degrees
D) 75 degrees

Answer 1

To find the missing angle (x) in the triangle, subtract the known angles (65 degrees and 73 degrees) from 180 degrees, which results in x being 42 degrees. Therefore, the answer is A) 42 degrees.

Step-by-step explanation:

To find the missing angle in a triangle, you simply subtract the sum of the known angles from 180 degrees, because the sum of the angles in any triangle adds up to 180 degrees. In this case, you have one angle of 65 degrees and another of 73 degrees. Adding those together gives you 138 degrees. Subtracting this from 180 degrees provides you with the measure of the missing angle.

180 degrees - (65 degrees + 73 degrees) = 180 degrees - 138 degrees = 42 degrees.

Therefore, the missing angle, x, measures 42 degrees. The correct answer is A) 42 degrees.