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There is a triangular metal structure as shown forming an isosceles triangle. If the unequal angle measures 30, what is the measurement of the equal angles?

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Answer to a math question There is a triangular metal structure as shown forming an isosceles triangle. If the unequal angle measures 30, what is the measurement of the equal angles?

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Maude
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107 Answers
1. In an isosceles triangle, two sides and the angles opposite them are equal.
2. The sum of angles in any triangle is 180^\circ .
3. Let the measure of the equal angles be x .
4. The equation is 2x + 30 = 180 .
5. Solve for x :

2x = 150 \\
x = \frac{150}{2} = 75 .

6. The measurement of the equal angles is 75^\circ .

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