In triangle CDE, the angle D is 2.5 times the angle C, and the angle E is 24 degrees less than the angle D. Find the angle E.
| December 5, 2020 | education
Let’s introduce the variable: C = x, D = 2.5x, E = 2.5x-24
knowing that the sum of the angles of the triangle = 180, we compose the following equation
x + 2.5x + 2.5x-24 = 180
6x = 180 + 24
6x = 204
x = 34 (C)
2.5 * 34 = 85 (D)
85-24 = 61 (E)
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