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The angles of a triangle are in the ratio 4:6:2. find angles |
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Answer» ong>Answer: The measures of the angles are 30, 60 and 90 DEGREES.
Explanation: I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale FACTOR x . And, the sum of the measures of the angles of a triangle is 180 .
⇒ 2 x + 4 x + 6 x = 180
12 x = 180
12 x 12 = 180 12
x = 15
The measures of the angles are:
2 x = 2 ( 15 ) = 30
4 x = 4 ( 15 ) = 60
6 x = 6 ( 15 ) = 90 Explanation: Hope it helps you... |
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