Which of the following can represent the measure of the three angles in an acute triangle
Come on Mr.bot
Your answer contains an angle of 105, which makes the triangle obtuse.
GEEESSSH!!!!
In an acute triangle, all three angles are less than 90 degrees. Therefore, any three angles that are all less than 90 degrees can represent the measure of the three angles in an acute triangle.
To determine whether the angles of a triangle are acute, we first need to understand what an acute triangle is.
An acute triangle is a triangle in which all three angles are less than 90 degrees.
Now, let's determine which of the following options can represent the measure of the three angles in an acute triangle:
Option A: 120 degrees
Option B: 70 degrees, 80 degrees, 45 degrees
Option C: 35 degrees, 75 degrees, 95 degrees
Option D: 60 degrees, 60 degrees, 60 degrees
To solve this, we need to check each option to see if it satisfies the condition of an acute triangle.
Option A: 120 degrees
Since 120 degrees is greater than 90 degrees, this option cannot represent an acute triangle.
Option B: 70 degrees, 80 degrees, 45 degrees
The sum of these three angles is 195 degrees, which is less than 180 degrees (the total sum of angles in a triangle). Additionally, all three angles are less than 90 degrees. Therefore, this option can represent an acute triangle.
Option C: 35 degrees, 75 degrees, 95 degrees
The sum of these three angles is 205 degrees, which exceeds 180 degrees. Therefore, this option cannot represent an acute triangle.
Option D: 60 degrees, 60 degrees, 60 degrees
The sum of these three angles is 180 degrees, which is equal to the total sum of angles in any triangle. Additionally, all three angles are less than 90 degrees. Therefore, this option can represent an acute triangle.
In conclusion, options B and D can represent the measure of the three angles in an acute triangle.
A. 30°, 60°, 90°
B. 45°, 45°, 90°
C. 30°, 45°, 105°
D. 40°, 50°, 90°
Answer: C. 30°, 45°, 105°