Answer:
• m∠1 =51º
,
• m∠2 = 39º
Explanation:
From the diagram, angles 1 and 2 are Complementary Angles (they add up to 90 degrees,)
We can then say that:
m∠1+m∠2=90º
Substituting the given values, we have:
[tex]\begin{gathered} (x+38)^0+3x=90^0 \\ x+3x=90-38 \\ 4x=52 \\ x=\frac{52}{4} \\ x=13 \end{gathered}[/tex]
Therefore, the measures of angles 1 and 2 are:
[tex]\begin{gathered} m\angle1=(x+38)^0=13+38=51^0 \\ m\angle2=3x=3\times13=39^0 \end{gathered}[/tex]
The measures of angles 1 and 2 are 51 and 39
