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what is the measure of angle 2? i already have my answer written down i just don’t know if it’s correct or not

What Is The Measure Of Angle 2 I Already Have My Answer Written Down I Just Dont Know If Its Correct Or Not class=

Sagot :

First find the angle 1: Here two chords are intersecting. So, the angle 1 formed by two intersecting chords is:

[tex]\begin{gathered} m\angle1=\frac{(105^{\circ}+85^{\circ})}{2} \\ =\frac{190^{\circ}}{2} \\ =95^{\circ} \end{gathered}[/tex]

Now the sum of angle 1 and angle 2 is 180 degrees.

So,

[tex]\begin{gathered} m\angle1+m\angle2=180^{\circ} \\ 95^{\circ}+m\angle2=180^{\circ} \\ m\angle2=180^{\circ}-95^{\circ} \\ m\angle2=85^{\circ} \end{gathered}[/tex]

So, the measure of angle 2 is 85 degrees.

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