The angles of a triangle are in the ratio 4 : 5 : 6. Find the greatest angle.
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Let the angle be x
So therefore all angles are 4x, 5x and 6x
Niw, sum of all angles of a triangle = 180 °
4x + 5x + 6x = 180°
15x = 180°
x = 180 / 15 = 12°
So 4x = 4 * 12 = 48°
5x = 5 *12 = 60°
6x = 6 * 12 = 72°
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So therefore all angles are 4x, 5x and 6x
Niw, sum of all angles of a triangle = 180 °
4x + 5x + 6x = 180°
15x = 180°
x = 180 / 15 = 12°
So 4x = 4 * 12 = 48°
5x = 5 *12 = 60°
6x = 6 * 12 = 72°
Mark me brainliest
And for further answering follow me
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Answered by
1
Answer:
Step-by-step explanation:
A / C = 2 / 3 ---> A = (2 / 3) C
B / C = 5 / 6 ---> B = (5 / 6) C
A + B + C = 180°
(2 / 3) C + (5 / 6) C + C = 180°
4 C + 5 C + 6 C = 1080°
15 C = 1080°
C = 72°
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