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Find the measure of each numbered angle.

Find the measure of each numbered angle.-example-1

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Answer:


m\angle 7=60^o


m\angle 8=30^o


m\angle 9=60^o

Explanation:

we know that

The figure show a regular hexagon

The regular hexagon can be divided into 6 equilateral triangles

The measure of each interior angle of an equilateral triangle is equal to 60 degrees

therefore


m\angle 7=60^o ----> by equilateral triangle

Find the measure of angle 8

Remember that the height in an equilateral triangle bisect the angle of the vertex

so


m\angle 8=(60^o)/(2)=30^o

Find the measure of angle 9


m\angle 9=60^o ----> by equilateral triangle

User Pramod Mali
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