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=
Answers
Answered by
GPT 3.5
To solve for x, set up an equation using the given information:
m∠1 + m∠2 = resulting angle
3x + (2x+10) = 160°
5x + 10 = 160°
Subtract 10 from both sides:
5x = 150°
Divide both sides by 5:
x = 30°
Substitute x back into the equations for m∠1 and m∠2:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, m∠1 = 90° and m∠2 = 70°.
m∠1 + m∠2 = resulting angle
3x + (2x+10) = 160°
5x + 10 = 160°
Subtract 10 from both sides:
5x = 150°
Divide both sides by 5:
x = 30°
Substitute x back into the equations for m∠1 and m∠2:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, m∠1 = 90° and m∠2 = 70°.