Final answer:
The measure of the third angle in a triangle with angles of 46 degrees and 103 degrees is 31 degrees.
Step-by-step explanation:
To find the measure of the third angle in a triangle, you need to know that the sum of all angles in any triangle adds up to 180 degrees. Given that the triangle has angles measuring 46° and 103°, you can calculate the third angle by subtracting the sum of these two angles from 180 degrees.
Step-by-step calculation:
- Add the measures of the two known angles: 46° + 103° = 149°.
- Subtract the sum from 180° to find the third angle: 180° - 149° = 31°.
Therefore, the measure of the third angle is 31°.
A triangle has three angles, and the sum of all the angles in a triangle is always 180 degrees. So to find the measure of the third angle, we need to subtract the sum of the two given angles from 180 degrees.
The sum of the given angles is 46° + 103° = 149°. Therefore, the measure of the third angle is: 180° - 149° = 31°. So the measure of the third angle is 31 degrees.