An interior angle of a regular polygon has a measure of 135°. What type of polygon is it? hexagon octagon nonagon decagon
2 answers:
Answer: The correct option is (B) octagon.
Step-by-step explanation: Given that an interior angle of a regular polygon has a measure of 135°.
We are to select the type of the polygon from the given options.
We know that, if n represents the number of sides of a regular polygon and α be its exterior angle, then
Given that,
an interior angle of the regular polygon is 135°.
So, the measure of an exterior angle will be
Therefore, the number of sides of the regular polygon is
So, there are 8 sides of the polygon and hence it is an OCTAGON.
Thus, (B) is the correct option.
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Answer:
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Step-by-step explanation:
The map isn't available, but, one can draw this bearings with the descriptions given
Angles for bearings are usually drawn, reading from the north direction.
A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.
For the sketch on the map.
On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.
Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.
Wherever the line from the hospital meets the line from the stadium, is where the University is located.
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