Question

Pls help due asap! Pls SHOW WORKINGS

Answer 1

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.

Answer 2

Answer:

$m\angle 1=95^{\circ}$

Step-by-step explanation:

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

The largest of these angles corresponds with the angle marked as $148^{\circ}$.

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

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

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