High School

A triangle has two interior angles with measurements of 68 degrees and 54 degrees. What is the measurement of the third interior angle?

A. 62 degrees
B. 65 degrees
C. 58 degrees
D. 55 degrees

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°