Two adjacent angles form a resulting angle with measure 160° . m∠1=3x° and m∠2=(2x+10)° . Solve for x . What are the two unknown angles’ measurements
Let's call the measure of angle 1 as "a" and the measure of angle 2 as "b".
Given that a + b = 160°, we can write the equation as:
3x + (2x + 10) = 160
Simplifying the equation:
3x + 2x + 10 = 160
5x + 10 = 160
5x = 160 - 10
5x = 150
x = 150/5
x = 30
Now we can substitute the value of x in the equations to find the measure of the angles:
Angle 1 (a) = 3x = 3(30) = 90°
Angle 2 (b) = 2x + 10 = 2(30) + 10 = 70°
Therefore, the measure of angle 1 is 90°, and the measure of angle 2 is 70°.