A right angle is divided into 3 angles. If one angle is equal to 40 degrees and the other two angles are equal, what is the number of degrees in each of the other two angles?

Question

asked Oct 3, 2023 206k views

1 Answer

Jeff Gong · Answer 1 · 2023-10-09T06:35:44+0000

The right angle was divided into three angles, one of them measures 40º and the other two are unknown but equal.

To determine de measure on the other two angles you can use the angle addition postulate.

So the addition of the three angles is equal to 90º

$\begin{gathered} 90=40+x+x \\ 90=40+2x \\ 90-40=2x \\ 50=2x \\ (50)/(2)=(2x)/(2) \\ 25=x \end{gathered}$

The measure of the other two angles is 25º