Note: Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.

Question

Find the value of k. The diagram is not to scale.

A triangle is shown with one angle labeled 62 degrees, another angle labeled 45 degrees, and the last angle labeled k degrees.
(1 point)

Answer 1

The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation 62 + 45 + k = 180 and solve for k.

62 + 45 + k = 180

107 + k = 180

k = 180 - 107

k = 73

Therefore, the value of k is 73 degrees.