Question

one angle of a triangle is equal to the sum of the other two.If the ratio of the other two angles is 7:8,find the angles of the triangles

Answer 1

Answer :

The ratio between other two angles of a triangle is 7:8

So lets suppose one of the other two angle is 7x°.
That means the second angle between those angles is 8x°.

But since the first angle is the sum of the other two angles.

=> First angle = 7x° + 8x° = 15x°.

We know that the sum of angles of a triangle is always 180°.

=> 15x° + 7x° + 8x° = 180°

=> x = 6°

●So first angle = 15×6 = 90°

●Second angle = 7×6 = 42°

●Third angle = 8×6 = 48°


●●●Hope it Helps●●●