Two angles in a triangle are in the ratio 2:3. If the sum of these angles is equal to the third angle, then what is the value of third angle?
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Step by Step Explanation:
- Let the two angles be 2x and 3x. The third angle, according to the question, will be equal to 2x + 3x = 5x.
- We know that the sum of interior angles of a triangle is equal to 180 degrees. This means 2x + 3x + 5x = 180
Or, 10x = 180,
Or, x = 18.
- From the above steps we can say that the angles will be equal to 2 × 18 = 36, 3 × 18 = 54 and 5 × 18 = 90.
- Hence the third angle is 90.