Respuesta :

Answer:

[tex]m\angle 1=95^{\circ}[/tex]

Step-by-step explanation:

If we drew an auxiliary line parallel to line [tex]p[/tex] and line [tex]q[/tex] that intersects the vertex of [tex]\angle 1[/tex], we would form three angles, one of them being

The largest of these angles corresponds with the angle marked as [tex]148^{\circ}[/tex].

The angle on the bottom right corresponds with the angle next to the one marked as [tex]63^{\circ}[/tex]. Therefore, its measure is [tex]180-63=117^{\circ}[/tex].

Since there are [tex]360^{\circ}[/tex] in a circle, we can now write the following equation:

[tex]m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}[/tex].

jcherry99

Answer:

95

Step-by-step explanation:

The way SkiffMacKinaw did this problem is the way it should be done. There is another way of doing it by extending both arms of <1 until they intersect p and q and solve the triangle hanging from p.

You then find the the angles of the triangle. The vertex angle is the supplement to <1.

This method works but it is not nearly as elegant as the original answer. This is one of the best awarded Brainliests I've seen lately.

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