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A side of the triangle below has been extended to form an exterior angle of 130°. Find the value of x

A side of the triangle below has been extended to form an exterior angle of 130°. Find-example-1
User Zhun Chen
by
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1 Answer

12 votes

Answer:

x = 17°

Two ways to solve:

Since the 130° angle is on a straight line, 180°, we can do the following:

180° - 130° = 50°

Then, a triangle's angles add up to 180

180° - 50° - 113° = x

17° = x

x = 17°

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The exterior angle is equal to the two opposite interior angles added together,

130° = x + 113°

17° = x

x = 17°

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

User Vahe Gharibyan
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