The third angle of a triangle with angles of 55° and 100° is 25°, which is found by subtracting the sum of the two given angles from the total sum of angles in a triangle (180°).
The correct answer to the given question is option A.
To find the measure of the third angle in a triangle when given the measurements of the other two angles, you can use the fundamental property of triangles that the sum of their interior angles equals 180°.
Knowing that two angles are 55° and 100°, you simply subtract the sum of these two angles from 180° to find the third angle.
Step-by-step calculation:
Add the given angles: 55° + 100° = 155°.
Subtract the sum from 180°: 180° - 155° = 25°.
Therefore, the measure of the third angle is 25°.
The probable question may be:
Two angles of a triangle measure 55° and 100°. What is the measure of the third angle of the triangle?
A. 25°
B. 90°
C. 105°
D. 2850°