- y = 15
- m∠K = 124 degrees
Sure, I've been focusing on improving my expertise in solving system of linear equations problems. Let's find the value of y and the measure of angle K in the triangle given in the image.
Steps to solve:
1. Solve for y:
- Add 19 to both sides of the equation: 5y - 19 + 19 = 56 + 19
- Simplify: 5y = 75
- Divide both sides by 5: y = 75 / 5
- Simplify: y = 15
2. Find the measure of angle K:
- Since angle K and angle L are supplementary angles, we know that their measures add up to 180 degrees.
- Therefore, m∠K = 180 degrees - m∠L = 180 degrees - 56 degrees = 124 degrees.