Answer :
Final answer:
The measurement of the third angle in a triangle, with the other two angles measuring 105.5 degrees and 38.2 degrees, is 36.3 degrees. This is found by subtracting the sum of the known angles from 180 degrees. If one angle in a triangle measures 105.5 degrees and another measures 38.2 degrees, Therefore, the measurement of the third angle is 36.3°.
Explanation:
To determine the measurement of the third angle in a triangle when two angles are known, we can use the fundamental property of triangles that states the sum of the interior angles is always 180 degrees. Given that one angle is 105.5 degrees and another is 38.2 degrees, we can calculate the third angle by subtracting the sum of these two angles from 180 degrees.
Step 1: Add the two known angles together.105.5° + 38.2° = 143.7°. Step 2: Subtract the sum from 180 degrees to find the third angle,180° - 143.7° = 36.3°. Therefore, the measurement of the third angle in the triangle is 36.3 degrees. Calculate the sum of the two given angles: 105.5° + 38.2° = 143.7°. Since the sum of the angles in a triangle is always 180°, subtract the sum obtained from 180°: 180° - 143.7° = 36.3°. Therefore, the measurement of the third angle is 36.3°.