Question

1. Which of the following could be the angle measure of a triangle a) 55, 55, 90

b) 24, 48, 108 c) 23, 60, 83 d) 50, 57, 73

Answer 1

Explanation:

In order for these to be the angle measures of a triangle, they have to add up to equal 180 degrees by the Triangle Angle-Sum Theorem. For

a. 55 + 55 + 90 = 200 so a is not a triangle

b. 24 + 48 + 108 = 180 so b is a triangle

c. 23 + 60+ 83 = 166 so c is not a triangle

d. 50 + 57 + 73 = 180 so d is a triangle