Question

If one angle of a triangle is 100° and the other angles are in the ratio of 2:3, find the angles. a. 100°, 40°, 60° b. 100°, 25°, 75° c. 100°, 50°, 50° d. 100°, 33.33°, 66.67°

Answer 1

The angles of the triangle are 100°, 72°, and 108°.

Step-by-step explanation:

To find the angles of the triangle, we can start by finding the sum of the ratios. Since the ratio is given as 2:3, the total ratio is 2+3=5. The angle corresponding to the ratio of 2 is 2/5 * 180° = 72°, and the angle corresponding to the ratio of 3 is 3/5 * 180° = 108°. Therefore, the angles of the triangle are 100°, 72°, and 108°.

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