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3 years ago

Find the measure of the largest exterior angle

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer:

116 degrees

Step-by-step explanation:

To find the answer, we must know what the sum of exterior angles are on a given shape, which is 360 degrees.

So, let's put the equation up.

8x-21+4x-13+5x-11+6x+14=360

Let's add all the x variables together to simplify it. And also add the number together too.

8x+4x+6x+5x= 23x

(-21)+(-13)+(-11)+14 = -31

The equation we have is in its initial simplified version. Let's simplify it even more to solve.

23x-31=360

Add 31 to both sides.

23x=391

Divide 23 on both sides to find x.

391/23 = x

x= 17

Let's put the value x in each exterior angle.

A= 8(17)-21 = 115 degrees

B= 6(17)+14 = 116 degrees

C= 5(17)-11 = 74 degrees

D= 4(17)-13 = 55 degrees

From the work above, we know B is the largest exterior angle, which is 116 degrees.

Hope this helps!

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Find the measure of the largest exterior angle​

Find the measure of the largest exterior angle