wo 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?
To find the value of x, we can set up an equation based on the given information:
m∠1 + m∠2 = 160°
Substituting the given expressions for the measures of angle 1 and angle 2:
3x + (2x + 10) = 160°
Combine like terms:
5x + 10 = 160°
Subtract 10 from both sides:
5x = 150°
Divide both sides by 5:
x = 30°
To find the measures of angle 1 and angle 2, substitute the value of x back into their expressions:
m∠1 = 3(30°) = 90°
m∠2 = 2(30°) + 10° = 70°
Therefore, angle 1 measures 90° and angle 2 measures 70°.