Question

what is the value of c? write your answer as an integer or as a decimal rounded to c =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. The exterior angle 10c is equal to the sum of the two non - adjacent interior angles 3c and 5c + 30. So, 10c=3c+(5c + 30).

Step2: Simplify the equation

First, combine like terms on the right - hand side of the equation. 3c+5c + 30=8c + 30. So the equation becomes 10c=8c + 30.

Step3: Solve for c

Subtract 8c from both sides of the equation: 10c-8c=8c + 30-8c. This gives 2c=30. Then divide both sides by 2: c = 15.

Answer:

15