Question

Tell whether a triangle can have the given angle measures. If not, change the first angle

measure so that the angle measures form a triangle. 115.1°, 47.5°, 93°

Answer 1

A triangle cannot have the given angle measures. The first angle measure needs to be changed to form a triangle with the given angles.

Step-by-step explanation:

A triangle can have the given angle measures if and only if the sum of the angles is equal to 180 degrees. Let's check if the given angle measures form a triangle:

1. 115.1° + 47.5° + 93° = 255.6°

The sum of the given angles is not equal to 180 degrees, which means they do not form a triangle. To form a triangle, we need to change the first angle measure to make the sum equal to 180 degrees.

Let's subtract the sum of the other two angles from 180 degrees:

1. 180° - (47.5° + 93°) ≈ 180° - 140.5° ≈ 39.5°

Therefore, to form a triangle, the first angle measure should be approximately 39.5 degrees.