Question

If m 1= 10x+4 and m 2=5x-4, Find m 2

Answer 1

Given

The angles given are

m 1= 10x+4 and m 2=5x-4.

Step-by-step explanation

To find the angle 2,

Use the property , the sum of the angles 1 and angles 2 is 180 degree.

`\begin{gathered} \angle1+\angle2=180\degree \\ 10x+4+5x-4=180\degree \\ 15x=180\degree \\ x=12 \end{gathered}`

The value of x is obtained 12.

Now find the angle 2 by substitute the value of x in the given equation.

`\begin{gathered} \angle2=5x-4 \\ \angle2=5*12-4 \\ \angle2=60-4 \\ \angle2=56\degree \end{gathered}`

Answer

Hence the angle 2 is obtained as 56 degree.