Lindsay draws a right triangle and adds the measure of the right angle and one acute angle. Which is a possible sum of the two angles?
A) 180
B) 45
C) 90
D) 120
Answer is D) 120.
Please correct me if I am wrong. Thank you for your help.
Yes your right
correct
ya your right boi
To find the possible sum of the right angle and one acute angle in a right triangle, we need to consider the properties of angles in a triangle.
In any triangle, the sum of the three angles is always 180 degrees.
Since we're given that Lindsay draws a right triangle, we know that one angle is a right angle, which measures 90 degrees.
Now, let's consider the other two angles in the triangle:
- The sum of the measures of the remaining two angles in a triangle will be 180 - 90 = 90 degrees.
- These two angles are acute angles since they are less than 90 degrees.
Now, we need to find the sum of the right angle (90 degrees) and one of the acute angles in Lindsay's triangle.
Since the sum of the two acute angles is 90 degrees, it is not possible for the sum of the right angle and one acute angle to be 180 degrees (option A).
A right angle measures 90 degrees, so it is not possible for the sum of the right angle and an acute angle to be 45 degrees (option B).
The sum of the right angle (90 degrees) and an acute angle in a right triangle can be 90 degrees + 30 degrees = 120 degrees.
Therefore, the correct answer is D) 120.
You are not wrong; the answer is indeed D) 120.