Question

In a triangle measure of middle one angle is 7 times the smallest angle and the greatest angle is 30 degree more than the measure of middle one angle find the measure of all three angles.

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Answer 1

Answer:

Let angle “a" = x

Let angle “b" = x + 30°

Let angle “c" = “a" + “b" = x + x + 30° = 2x + 30°

Total angle in a triangle = 180°

Therefore; “a" + “b" + “c" = 180°

Which births; (x + (x + 30°) + (2x + 30°)) = 180°

So we have; 4x + 60° = 180°

This gives; x = (180° - 60°) ÷ 4

So; x = 30°

Plugging this value of x into the earlier equations for angles “a”, “b” and “c".

“a" = x = 30°

“b" = x + 30° = 60°

“c" = 2x + 30° = 90°