Answer :
Final answer:
The third interior angle of a triangle with two interior angles measuring 68 degrees and 54 degrees is 58 degrees, calculated by subtracting the sum of the known angles from 180 degrees.
Explanation:
To solve for the measurement of the third interior angle of a triangle when given two interior angles, use the fact that the sum of all interior angles in a triangle equals 180 degrees. Subtract the sum of the two provided angles from 180 degrees to find the missing angle.
Given:
- First angle = 68 degrees
- Second angle = 54 degrees
Calculation:
Third angle = 180 degrees - (68 degrees + 54 degrees)
Third angle = 180 degrees - 122 degrees
Third angle = 58 degrees
Therefore, the correct answer is option C, which is 58 degrees.
Answer:
(c)
Step-by-step explanation:
the sum of the three interior angles in a triangle = 180°
let the third interior angle be x , then
x + 68° + 54° = 180°
x + 122° = 180° ( subtract 122° from both sides )
x = 58°
The measure of the third interior angle is 58°