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°.
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
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