Question

two angle of trainagle are in the ratio 2:3 If third angle is 50° find the other two angles.​

Answer 1

Answer:

the two angles are 52 and 78.

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Answer 2

Step-by-step explanation:

Given:-

Two angle of trainagle are in the ratio 2:3 the third angle is 50° .

To find:-

Find the other two angles. ?

Solution:-

The ratio of the two angles in a triangle = 2:3

Let they be 2X° and 3X°

Let the first angle be 2X°

Let the second angle be 3X°

The third angle = 50°

We know that

The sum of all angles in a triangle is 180°

=>2X° + 3X° + 50° = 180°

=> 5X° + 50° = 180°

=> 5X° = 180°-50°

=> 5X° = 130°

=> X° = 130°/5

=> X° = 26°

The value of X = 26°

Now , The first angle = 2X°=2(26°)=52°

The third angle = 3(26°)=78°

Answer:-

The other two angles of the given triangle are 56° and 78°

Used formulae:-

Angle sum property:-

The sum of all angles in a triangle is 180°