Question

In the figure below, m∠ 1 =(x+38) and m∠2º = 3xº, Find the angle measures.

Answer 1

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:

$\begin{gathered} (x+38)^0+3x=90^0 \\ x+3x=90-38 \\ 4x=52 \\ x=\frac{52}{4} \\ x=13 \end{gathered}$

Therefore, the measures of angles 1 and 2 are:

$\begin{gathered} m\angle1=(x+38)^0=13+38=51^0 \\ m\angle2=3x=3\times13=39^0 \end{gathered}$

The measures of angles 1 and 2 are 51 and 39