How would I solve this?
1 answer:
Answer:
It is rotated by 72 degrees.
Step-by-step explanation:
- Since it is a regular polygon,
when u connect all the corners of it to the middle of the polygon, they will meet at a point i.e, CENTER.
- The sum of the angles subtended by all the sided at the center will be 360 degrees.
- As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.
Because,
- As the polygon rotates every minute and it is rotated for 12 minutes,
( For every minute, it will be rotated by 6 degrees.
so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)
- So, after 12 minutes it will be rotated by 72 degrees.
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The value of x would be 30 degrees.
<h3>What is the angle sum property?</h3>The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Let's consider an angle CAD be t.
In a triangle ABD
x + 90 + t = 180
t = 180 -x - 90
t = 90 - x ( by angle sum property)
Now, we know that the sum of the corresponding angle on a transversal is 180
So,
Angle A + angle D = 180
2x + t + x + x = 180
substitute the t value
2x + 90 - x + 2x = 180
3x + 90 = 180
3x = 90
x = 30 degree
Hence, the value of x would be 30 degrees.
Learn more about the triangles;
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