Answer: x = 21; y = 29.5
because 2y° and 59° are 2 opposing angles ⇒ 2y° = 59° ⇔ y = 29.5°
we also have: (3x - 4)° = 59° ( because of 2 parallel lines)
⇔ 3x = 59 + 4 = 63
⇔ x = 63/3 = 21
Step-by-step explanation:
Answer:
Step-by-step explanation:
Because the four angles share a common point and because they start with the top of 2x and end there, the total number of degrees travelled is 360 -- the same as though the origin were at the meeting place of the 4 given angles and the center of a circle.
3x + 3x + 4x + 2x = 360 degrees. Combine
12x = 360 Divide by 12
12x/12 = 360/12
x = 30
An equation for those could be: x*y= t*y-10= 30 so x,y,t could be 6,5,8
Answer:
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Step-by-step explanation:
The number of times that the shape will map back onto itself as the shape rotates 360° about its center is 6.
<h3>What is the sum of all the exterior angles of a regular polygon?</h3>
For a regular polygon of any number of sides, the sum of its exterior angle is 360° (full angle).
Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).
A regular polygon with n sides can map onto itself by n times
It will rotate 360°/n about its center every time and will map onto itself
Examples are in the attached table as well as the solution.
The number of times that the shape will map back onto itself as the shape rotates 360° about its center is 6.
Learn more about a regular polygon here:
brainly.com/question/14173422
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