Dynamic Angles and Adjacent bisectors
Published:
14 Dynamic angles
$1^\circ$ Draw an angle $\widehat{xOz}$ measuring $56^\circ$ and a semi-line $[Oy)$ inside this angle such that $\widehat{xOy} = 26^\circ$.
$2^\circ$ Draw the semi-line $[Ou)$, such that the angles $\widehat{xOy}$ and $\widehat{xOu}$ are adjacent and equal.
$3^\circ$ Draw the semi-line $[Ov)$, such that the angles $\widehat{zOy}$ and $\widehat{zOv}$ are adjacent and equal.
$4^\circ$ What is the measure of the angle $\widehat{uOv}$?
Animated Video Solution
The first half plays free, the full solution is in the app.
Step by Step Written Solution
Hi Matjar., let's solve this geometry problem together by drawing the dynamic angles step by step.
Dynamic Angles Problem
First, we draw the angle x O z measuring fifty-six degrees. We'll also place the semi-line O y inside it such that the angle x O y is twenty-six degrees.
Now let's calculate the measure of the remaining part of the original angle, which is the angle z O y. It is the total fifty-six degrees minus twenty-six degrees, giving us thirty degrees.
Next, we draw the semi-line O u such that angles x O y and x O u are adjacent and equal. This means O u is on the opposite side of x relative to y.
Since they are adjacent and equal, the angle x O u must also be twenty-six degrees.
Now we draw the semi-line O v such that angles z O y and z O v are adjacent and equal. Here, O v is on the opposite side of z relative to y.
The rest of this solution is on Solvi
5 more steps are locked. Watch the full animated, narrated solution for free.
Snap a photo, solve any question like this.
Watch the Rest for Free
Free to download · First solutions are on us
