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Angle Sum Property

One of the an...

Question

One of the angles of a triangle is 100° and the other two angles are equal. Find each of the equal angles.

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Solution

The other two angles are equal. Let one of these angles be x°.
Sum of angles of any triangle is 180°.
∴ x + x+ 100 = 180
2x = 80
x = 40
Hence, the equal angles of the triangle are 40° each.

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