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= °

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can set up an equation to solve for x:

3x + (2x + 10) = 160
Combine like terms:
5x + 10 = 160
Subtract 10 from both sides:
5x = 150
Divide both sides by 5:
x = 30
Substitute x = 30 into the expressions for the angles:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°

The two unknown angles' measurements are:
m∠1 = 90°
m∠2 = 70°