Let's set up an equation to solve for x using the given information.
Since the resulting angle measures 160°, the sum of the two adjacent angles must be equal to 160°.
Therefore, we can write the equation:
m∠1 + m∠2 = 160°
Substituting the given values, we have:
3x + (2x + 10) = 160
Combining like terms, we get:
5x + 10 = 160
Subtracting 10 from both sides, we have:
5x = 150
Dividing both sides by 5, we get:
x = 30
Now we can substitute the value of x back into the equations to find the unknown angle measurements.
m∠1 = 3x
m∠1 = 3(30)
m∠1 = 90°
m∠2 = 2x + 10
m∠2 = 2(30) + 10
m∠2 = 60 + 10
m∠2 = 70°
Therefore, the measurements of the two unknown angles are:
m∠1 = 90°
m∠2 = 70°
wo 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=_ °
1 answer