Question
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=
°
Since two adjacent angles form a resulting angle with measure 160°, we can set up the following equation:
m∠1 + m∠2 = 160°
Substituting the given expressions for the angle measures, we have:
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 find the measures of the two unknown angles:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 60 + 10 = 70°
Therefore, the two unknown angles' measurements are:
m∠1 = 90°
m∠2 = 70°