Question

use a protractor to construct vertical angles that measure 125°. label each angle with its measure.

Explanation:

Step1: Draw a straight line

Draw a horizontal straight line $AB$.

Step2: Mark vertex & align protractor

Mark a point $O$ on $AB$. Align protractor base with $AB$, center at $O$.

Step3: Mark 125° angle point

Find $125^\circ$ on protractor, mark point $C$.

Step4: Draw first angle side

Draw ray $OC$. $\angle AOC = 125^\circ$.

Step5: Draw vertical angle side

Extend $OC$ past $O$ to $D$, extend $AO$ past $O$ to $B$.

Step6: Label vertical angles

$\angle BOD = 125^\circ$ (vertical to $\angle AOC$), label $\angle AOC=125^\circ$, $\angle BOD=125^\circ$, and the adjacent supplementary angles $\angle COB=\angle AOD=55^\circ$.

Answer:

Constructed vertical angles: $\boldsymbol{\angle AOC = 125^\circ}$ and $\boldsymbol{\angle BOD = 125^\circ}$ (with supplementary adjacent angles $\angle COB = \angle AOD = 55^\circ$), labeled as described.