Answer:
<u>x = 60°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
<u>So, the measure of the angle x = 60°</u>
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The <em><u>correct answer</u></em> is:
C.the point of concurrency of the angle bisectors of the triangle
Explanation:
The largest circle that can be drawn inside a triangle is called an inscribed circle. The center of this circle is called the incenter.
The incenter is formed by the intersection of the angle bisectors of all 3 angles in the triangle.
15 js the base of the rectangle because you find the area by doing length times width
Step-by-step explanation:
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