Question

One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the two angles is 2:7, find all the angles of the triangle​

Answer 1

Answer:

Suppose angle as X

Ratio of two angles = 2:7

Sum of ratio of two angles will give the ratio of X

= 2 + 7 =9X

Sum of ratio of three angles = 2X +7X +9X

= 18X

18X =180°

X =10°

=(2×10) (7×10) (9×10)

= 20° 70° 90°

so one angle is 90° I.e sum of the two angles

Two angles are 20° and 70°

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