Question

In the figure below, m∠ABD=104° , and m∠2 is 18° more than m∠1. Find m∠1.

Answer 1

Given the following parameters

`\begin{gathered} m\angle ABD=104^0 \\ m\angle2=18^0 \\ m\angle1\Rightarrow? \end{gathered}`

From the diagram, we can say that the <1 and <2 are adjacent.

we can say that.

`m\angle1+m\angle2=104^0`

Substitute for m<2 =18 degrees in the equation above, to find m<1

`\begin{gathered} m\angle1+18^0=104^0 \\ m\angle1=104^0-18^0 \\ m\angle1=86^0 \end{gathered}`

Hence, the m<1 is 86°