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
To solve for x, we set up an equation:
3x + (2x + 10) = 160
Combining like terms:
5x + 10 = 160
Subtracting 10 from both sides:
5x = 150
Dividing both sides by 5:
x = 30
Now, we can substitute x=30 back into the equations to find the measure of each angle:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, m∠1 = 90° and m∠2 = 70°.