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?

We are given that the resulting angle formed by two adjacent angles measures 160°. Therefore, we can set up the equation:

3x + (2x + 10) = 160
Combining like terms, we have:
5x + 10 = 160
Subtracting 10 from both sides, we get:
5x = 150
Dividing both sides by 5, we have:
x = 30
Therefore, m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Thus, the two unknown angles' measurements are 90° and 70°.