Answer:
m∠3=115°.
Step-by-step explanation:
It is given from the figure that line q is parallel to s and r is the transversal.
Since, m∠6 and m∠8 forms a linear pair as they are on the straight line r, therefore using the linear pair property, we have
m∠6+m∠8=180°
⇒[tex]2x-5+x+5=180^{\circ}[/tex]
⇒[tex]3x=180^{\circ}[/tex]
⇒[tex]x=60^{\circ}[/tex]
Thus, the measure of ∠6 is [tex]2x-5=2(60)-5=120-5=115^{\circ}[/tex]
Now, m∠3=m∠6=115° as both m∠3 and m∠6 forms the alternate interior angle pair.
Therefore, the measure of m∠3=115°.
