Question

one of the the angle of the triangle is equal to the sum of the other two angles if the ratio of the the other two angles is 2:7 find all the angles of the triangle​

Answer 1

90°,20°,70°

Let the two angles be in x.

Then two angles are 2x and 7x.

A/Q

2x+7x=9x

Since ,third angle is equal to sum of the two angles

Therefore, 9x = third angle

so 9x = 9x

180°= 9x+9x

180°=18x

x=180°/18=10°

Therefore, 9x = 10° × 9= 90°

2x = 10° × 2= 20°

7x = 10° × 7= 70°

So , the angles are 90°,20°and 70°