two angle of a triangleare in the ratio 4:5 if the sum of these angles is equal to the third angle . find the angle of the triangle
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Answer:
Two angles are of 30 degrees and last of 60 degrees
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Let the measure of two angles be 4x and 5x and the third one is ( 4x + 5x ).
We know that ;
Sum of angles of triangle = 180°
⇒ 4x + 5x + 4x + 5x = 180
⇒ 18x = 180
⇒ x = 180/18
⇒ x = 10
Therefore, the angles are ;
4x = 4 * 10 = 40°
5x = 5 * 10 = 50°
9x = 9 * 10 = 90°
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