Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

A triangle has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.

Given the angles in the diagram, who is closer to the treasure chest and why?

Nigel is closer because his distance to the chest is opposite the larger angle.
Mia is closer because her distance to the chest is opposite the smaller angle.
Nigel is closer because his distance from the chest is 100 meters.
Mia is closer because her distance from the chest is 100 meters.

Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Given is a triangle that has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.

Refer to the image attached.

It can be seen that Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees. We can conclude this from the fact that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle

Therefore, Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.

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Answer:

B

Step-by-step explanation:

I did it and it is correct

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