The inner angles of a triangle are proportional to the numbers 3.5 and 7. What is the larger of its angles?

Let’s denote the coefficient of proportionality through K. Since the sum of the inner angles of the triangle is 180, then 3 * K + 5 * K + 7 * K = 180.

15 * K = 180.

K = 12.

Then the largest angle of the triangle is * 7 * 12 = 84.



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