Question

each of the two angles of a triangle is three-fourths of the third angle. find the three angles of a triangle .

Answer 1

Let the third angle be x.
Therefore
3/4x are the other two angles

Hence ,
3/4x+3/4x+x=180
Simplifying ,
10x=180x4
X=180x4/10= 72
Hence the angles are
72degrees , 54 degrees and 54 degrees

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Answer 2

Let the third angle be x°

First angle = Second angle

So , their value is 3x/4

We know, three angles sum 180°

So , ⇒ x + 3x/4 + 3x/4 = 180

⇒10x/4 = 180

⇒10x = 180 * 4

⇒x = 720 /10 = 72

∴Third angle = x = 72 °

First and second angles = 3x/4 = 3*72/4 = 54

Answer : First angle = 54 ° , Second angle = 54° , Third angle = 72°