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frutty [35]
3 years ago
14

Find the exterior angle of angle c.

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

Step-by-step explanation:

This triangle is a polygon. By definition, all the exterior angles of ANY polygon add up to equal 360 degrees. So we add up all the exterior angles and solve for x. That's the first step.

7x - 2 + 9x - 31 + 4x + 33 = 360

Combining like terms gives us

20x + 0 = 360 or simply

20x = 360 so

x = 18

In order to find the value of the angle exterior to angle C, we sub 18 in for x:

7(18) - 2 = 124

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6. Find the value of x. (HINT: Find the missing angles inside the triangle first)
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Answer:

x=120°

Step-by-step explanation:

First, let's look at ΔBAC. We can see that all three sides, AB, BC, and CA, are congruent. This means that the triangle is an equilateral triangle, meaning that all angles of the triangle are congruent.

A property of all equilateral triangles is that the interior angles are all 60°. We can prove this by dividing 180, the sum of the interior angles of a triangle, by 3, because there are three equal angles in an equilateral triangle. 180/3=60.

This means that we now know ∠BAC is 60°.

Now let's look at GC. It is a straight line, meaning the angle GAC is 180°.

If ∠BAC is 60°, and ∠GAC is 180°, then x must be 180-60=120°.

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The last answer.

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Calculate 65 L to quarts. Final answer round two places
lakkis [162]

Step-by-step explanation:

The approximate equation to convert from liters to quarts is : x • 1.056688.

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