A triangle is a geometric figure formed by three line segments that connect three points that do not lie on one straight line. These three points are called the vertices of the triangle, and the segments are called the sides of the triangle.
Since the sum of all the angles of the triangle is 180 °, and the angles of the triangle ABC are related as:
∠А: ∠В: ∠С = 3: 5: 7, then we express:
3x – degree measure of angle ∠A;
5x – degree measure of angle ∠В;
7x – degree measure of the angle ∠С;
3x + 5x + 7x = 180;
15x = 180;
x = 180/15 = 12;
∠А = 3 ∙ 12 = 36º;
∠В = 5 · 12 = 60º;
∠С = 7 ∙ 12 = 84º.
Answer: the angle ∠А is equal to 36º; the angle ∠В is equal to 60º; the angle ∠С is equal to 84º.
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