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

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°.