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The measures of the angles of a triangle are in the extended ratio 4:5:6. Find the measure of the largest angle in the
triangle.

A 60°
B. 72°
C. 120°
D. 132°

Sagot :

Sidharth999
Answer: B) 72°

Step-by-Step Explanation:

We know, the Angles of a Triangle sum up to 180 degrees (A.S.P)

Ratio of Angles = 4 : 5 : 6

Therefore, framing the Equation :-
=> 4x + 5x + 6x = 180

Therefore,
4x + 5x + 6x = 180
9x + 6x = 180
15x = 180
x = 180/15
=> x = 12

Finding each Angle :-

4x = 4 * 12 = 48°
5x = 5 * 12 = 60°
6x = 6 * 12 = 72°

Therefore, the largest angle is 72°
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