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3 years ago

Please help me name the pairs of vertical angles

Mathematics

2 answers:

vladimir2022 [97]3 years ago

7 0

Answer:

The answer is q

Step-by-step explana

babymother [125]3 years ago

4 0

There are 2 pairs of vertical angles and they are:

angle NOP and angle ROS

angle POR and angle NOS

To see this, it might help to use a different color to mark the segments NR and SP. A giant X forms. The angles NOP and ROS are opposite one another, so they are vertical angles.

Similarly, angles POR and NOS are opposite one another so they are the second pair of vertical angles.

Vertical angles are congruent, meaning that angle NOP = angle ROS. Also, angle POR = angle NOS

No other vertical angle pairs are present because the segments MO and QO do not extend past point O.

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Ainat [17]

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This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

$\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086$

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