Question

In the figure below, m∠1=(x-12)° and m∠2=5x° . Find the angle measures.

Answer 1

The diagram shows an angle measuring 90 degrees (right angle).

The two angles labelled 1 and 2 are given as follows;

`\begin{gathered} \angle1+\angle2=90 \\ (x-12)+5x=90 \\ x-12+5x=90 \\ 6x-12=90 \\ \text{Add 12 to both sides;} \\ 6x-12+12=90+12 \\ 6x=102 \\ \text{Divides both sides by 6;} \\ (6x)/(6)=(102)/(6) \\ x=17 \end{gathered}`

ANSWER:

Therefore the angle measures are;

`\begin{gathered} \angle1=x-12 \\ \angle1=17-12 \\ \angle1=5 \\ \\ \angle2=5x \\ \angle2=5(17) \\ \angle2=85 \end{gathered}`