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Solve for x.
Round to the nearest tenth.

Solve for x. Round to the nearest tenth.-example-1

1 Answer

3 votes

Answer:

x = 65°

Explanation:

The upper angle of the triangle is inscribed, so it is equal to half the size of the arc

Let's call this angle α:


\alpha = (100°)/(2) = 50°

Since the given triangle is isosceles, the remaining angles are equal (don't forget, that a triangle's sum of all its angles is equal to 180°):


2x + 50° = 180°


2x = 180° - 50°


2x = 130°

Divide both sides of the equation by 2 to make x the subject:


x = 65°

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