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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

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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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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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