Question
if two angles in a triangle are 45 and 75 , what is the measure of the third angle?
Answers
GPT-4o mini
In a triangle, the sum of the three interior angles is always 180 degrees. To find the measure of the third angle, you can subtract the sum of the two given angles from 180 degrees.
Given angles:
- First angle = 45 degrees
- Second angle = 75 degrees
Sum of the two angles:
\[ 45 + 75 = 120 \text{ degrees} \]
Now, subtract this sum from 180 degrees to find the third angle:
\[ 180 - 120 = 60 \text{ degrees} \]
Therefore, the measure of the third angle is \( 60 \) degrees.
Given angles:
- First angle = 45 degrees
- Second angle = 75 degrees
Sum of the two angles:
\[ 45 + 75 = 120 \text{ degrees} \]
Now, subtract this sum from 180 degrees to find the third angle:
\[ 180 - 120 = 60 \text{ degrees} \]
Therefore, the measure of the third angle is \( 60 \) degrees.