Question

in the figure below, m∠1=(x + 38)° and m∠2 = 3x°. find the angle measures. m∠1= m∠2=

Explanation:

Step1: Set up equation

Since $\angle1$ and $\angle2$ are complementary, $(x + 38)+3x=90$.

Step2: Combine like - terms

$4x+38 = 90$.

Step3: Isolate variable

$4x=90 - 38=52$, then $x = 13$.

Step4: Find angle measures

$m\angle1=x + 38=13+38 = 51^{\circ}$, $m\angle2=3x=3\times13 = 39^{\circ}$.

Answer:

$m\angle1 = 51^{\circ}$, $m\angle2 = 39^{\circ}$