The angles of a triangle are related as 2: 19: 24. Find the smaller one.

univerkov | July 23, 2021 | education

Let the smaller of the inner angles of the triangle be 2 * X0, then the average angle in terms of magnitude will be 19 * X0, and the larger angle will be 24 * X0.

Since the sum of the interior angles of a triangle is 180, then:

2 * X + 19 * X + 24 * X = 180.

45 * X = 180.

X = 180/45 = 4.

Then the smaller of the angles will be 2 * 4 = 8.

Answer: The smaller angle of the triangle is 8.

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