Question

the diagram shows a triangle. what is the value of c? c =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, for a triangle with angles 41°, 75°, and c, we have the equation 41°+75° + c=180°.

Step2: Simplify the left - hand side

41 + 75=116, so the equation becomes 116°+c = 180°.

Step3: Solve for c

Subtract 116° from both sides of the equation: c=180° - 116°.
c = 64°

Answer:

64