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.
I lost my answer post so here's another one:
1. 3 and 90
2. 3 and 57
3. 85 and 180
4. 154
5. 123
Answers for the quick check:
1. (10x - 20 = 180)
2. (9x° + 135° = 180°)
3. 165
4. 110
5. 100
I got an 80% but I but the correct answers!
The sum of the measures of the three angles is 180°. Therefore, we can write the equation:
(x + 30) + 60 + (2x) = 180
Simplifying the equation gives:
3x + 90 = 180
To solve for x, we can subtract 90 from both sides of the equation:
3x = 90
Finally, we divide both sides by 3 to isolate x:
x = 30
Therefore, the unknown angle measures are:
m∠KLM = (x + 30)° = (30 + 30)° = 60°
m∠MLN = 60°
m∠NLP = (2x)° = (2 * 30)° = 60°
Thus, the equation to solve for the unknown angle measures is 3x + 90 = 180.