Question

Can you please help me with this question. it's geometry

Answer 1

To find the angle A we need to find first the value of x. To do this we need to use the fact the the addition of the interior angles of any triangle is 180°.

The right side angle is equatl to 4x+4 since its vertically opposite to the one shown in the picture. The upper angle is 100° since it has to be supplementary to the angle of 80° shown in the picture.

With this in mind we have the equation:

`(4x+4)+(4x+4)+100=180`

Solving for x we have:

`\begin{gathered} (4x+4)+(4x+4)+100=180 \\ 8x+108=180 \\ 8x=180-108 \\ 8x=72 \\ x=(72)/(8) \\ x=9 \end{gathered}`

Once we know the value of x we plug it in the expression for the angle A:

`4(9)+4=40`

Therefore the angle A is 40°.