Question

the angles of a triangle are in the ratio 3:4:1 . Find the measure of each angle if the triangle​

Answer 1

Sum of all angles of a triangle is 180°.

The angles are in the ratio 3: 4: 1

Let the angles be 3x°, 4x° and x°

So,

3x+4x+x = 180

=> 8x = 180

=>x = 180/8

=> x = 22.5

So, the angles are

3x= (3×22.5)° = 67.5

4x= (4×22.5)° = 90°

x = 22.5°

Hence the measure of each angle of the triangle is 67.5°, 90° and 22.5°.

Answer 2

$\huge\bold\red{Hola}$

Let the angles be 3x,4x and x.

$<b>Angle sum property of a triangle is 180°</b>$

So,

3x+4x+x=180

8x=180

x=22.5

The angles are 67.5°,90° and 22.5°

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