Question

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

Answer 1

To find the value of k, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

So, we have:

62 degrees + 45 degrees + k degrees = 180 degrees

Combining like terms, we have:

107 degrees + k degrees = 180 degrees

Subtracting 107 degrees from both sides, we have:

k degrees = 180 degrees - 107 degrees

Simplifying, we have:

k degrees = 73 degrees

Therefore, the value of k is 73 degrees.