To solve this problem, we need to set up an equation for the sum of the two angles. The sum of two adjacent angles should equal the resulting angle of 160°.
So, we have:
m∠1 + m∠2 = 160°
Substituting the given expressions for m∠1 and m∠2:
3x + (2x + 10) = 160
Combining like terms:
3x + 2x + 10 = 160
5x + 10 = 160
Subtracting 10 from both sides:
5x = 150
Dividing both sides by 5:
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 = 70°
So, the two unknown angles' measurements are m∠1 = 90° and m∠2 = 70°.
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=
1 answer
1 answer