The angles of a triangle The angles of a triangle are (2x+17) (x-10) and (5x-7) find all the angles of the triangle.
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The angles are 62, 12.5, 105.5
Step-by-step explanation:
We know the sum of the angles of a triangle is = 180
here the angles of the triangle are (2x+17), (x-10), (5x-7)
Therefore, (2x+17) + (x-10) + (5x-7) = 180
⇒ 2x + 17 + x - 10 + 5x - 7 = 180
⇒ 8x = 180
⇒ x = 180/8 = 45/2
∴the angles are (2×45/2 + 17), ( 45/2 - 10) , (5×45/2 -7)
⇒ 62, 25/2 , 211/2 ⇒ 62, 12.5, 105.5
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