Question

Find the measure of each numbered angle.

Answer 1

Answer:

$m\angle 7=60^o$

$m\angle 8=30^o$

$m\angle 9=60^o$

Step-by-step 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

$m\angle 8=\frac{60^o}{2}=30^o$

Find the measure of angle 9

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