Question

In the figure below, m∠1 = 8x and m∠2 = (x-9). Find the angle measures.

Answer 1

• m∠1 =168 degrees

,

• m∠2 =12 degrees

Step-by-step explanation:

From the diagram, Angles 1 and 2 are on a straight line.

We know that the sum of angles on a straight line is 180 degrees.

Therefore:

`m\angle1+m\angle2=180^0`

Substituting the given values, we have:

`\begin{gathered} 8x+x-9=180^0 \\ 9x=180+9 \\ 9x=189 \\ x=(189)/(9) \\ x=21 \end{gathered}`

The measures of angles 1 and 2 are:

`\begin{gathered} m\angle1=8x=8*21=168^0 \\ m\angle2=x-9=21-9=12^0 \end{gathered}`

The measures of angles 1 and 2 are 168 degrees and 12 degrees respectively.