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Licemer1 [7]
3 years ago
13

It takes 13 more copies of the angle for the last angle to overlap the first horizontal ray. What is the measure of each angle?

Mathematics
1 answer:
nalin [4]3 years ago
6 0
Missing part in the heading of the question:
For this question, use the diagram shown. The diagram shows the result of constructing a copy of an angle adjacent to one of the rays of the original angles. Assume the pattern continues.

Answer:
measure of each angle = 24°

Explanation:
The diagram shows two angles, if we add 13 more copies, the number of angles would be 15 angles

Now, when the 15 angles are drawn, the last angle would overlap with the first horizontal ray.
This means that the angles form one complete rotation around the point.

This means that the sum of the 15 angles together is 360°.

We know the all 15 angles are equal. Assume that the measure of each is x.
15 x = 360
x = 360 / 15
x = 24°

Hope this helps :)

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Find the values of x and y : EK= 7x+5, KG= 3x+17, HK= 3y-11, KF= y+5<br>NEED ANSWER ASAP
Mice21 [21]

Answer:

<h2>x = 3, y = 8</h2>

Step-by-step explanation:

We know:

The diagonals of the parallelogram are divided in half.

Therefore

EK ≅ KG and HK ≅ KF.

We have

EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5

Equations:

(1)   7x + 5 = 3x + 17

(2) 3y - 11 = y + 5

Solutions:

(1)

7x + 5 = 3x + 17       <em>subtract 5 from both sides</em>

7x + 5 - 5 = 3x + 17 - 5

7x = 3x + 12       <em>subtract 3x from both sides</em>

7x - 3x = 3x - 3x + 12

4x = 12           <em>divide both sides by 4</em>

4x/4 = 12/4

x = 3

------------------------------

(2)

3y - 11 = y + 5                <em>add 11 to both sides</em>

3y - 11 + 11 = y + 5 + 11

3y = y + 16         <em>subtract y from both sides</em>

3y - y = y - y + 16

2y = 16           <em>divide both sides by 2</em>

2y/2 = 16/2

y = 8

3 0
3 years ago
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