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?
To solve for x, we can set up the equation 3x + 2x + 10 = 160.
Combining the like terms, we have 5x + 10 = 160.
Subtracting 10 from both sides, we get 5x = 150.
Dividing both sides by 5, we find that x = 30.
Therefore, m∠1 = 3(30) = 90°.
And m∠2 = 2(30) + 10 = 70°.
So, the measurements of the two unknown angles are 90° and 70°.