Two angles in a triangle are in the ratio 4:5. If the sum of these angles is equal to the third angle, then the smallest angle is
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Step-by-step explanation:
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°
Smallest angle is 40°
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