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?(1 point)
m∠1= °, m∠2= °
To solve for x, we can set up an equation based on the information given:
m∠1 + m∠2 = resulting angle
3x + (2x + 10) = 160
Now we can solve for x:
5x + 10 = 160
5x = 150
x = 30
Now we can substitute the value of x back into the expressions for m∠1 and m∠2:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 60 + 10 = 70°
So, m∠1 = 90° and m∠2 = 70°.