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

Answer 1

To solve for x, we can set up an equation based on the given information:

m∠1 + m∠2 = resulting angle
3x + (2x + 10) = 160°

Next, simplify the equation:

3x + 2x + 10 = 160°
5x + 10 = 160°

Now, isolate the variable:

5x = 160° - 10
5x = 150°

Divide both sides by 5:

x = 150° / 5
x = 30°

Now, we can substitute this value back into the expressions for m∠1 and m∠2 to find their measurements:

m∠1 = 3x° = 3(30°) = 90°
m∠2 = 2x + 10° = 2(30°) + 10° = 70° + 10° = 80°

Therefore, m∠1 measures 90° and m∠2 measures 80°.