Three angles have measures that add to 180°
The angles have the following measures: m∠KLM=(x+30)° , m∠MLN=60°, and m∠NLP=(2x)° . What is an equation to solve for the unknown angle measures? Write the equation in simplest terms.
The equation to solve for the unknown angle measures is:
m∠KLM + m∠MLN + m∠NLP = 180°
Substituting the given angle measures into the equation, we have:
(x+30)° + 60° + (2x)° = 180°
Simplifying the equation, we get:
x + 90° = 180°
Subtracting 90° from both sides of the equation, we get:
x = 90°