The angles of a triangle are $5 x, 5 x + 4$ and $5 x - 4$ . Find the angles of the triangle.

Open in App

Solution

We know that all the angels of a triangles $= 108^{o}$
Therefore,
$5 x + 5 x + 4 + 5 x - 4 = 180$
$15 x = 180$
$x = 12$
Therefore
$f i r s t a n g l e = 5 x$
$= 5 \times 12$
$= 60$
$S e c o n d a n g l e s = 5 x + 4$
$= 5 \times 12 + 4$
$= 60 + 4$
$64$
And,
$T h i r d a n g l e = 5 x - 4$
$= 5 \times 12 - 4$
$= 60 - 4$
$= 56$
Which is the required answer.

Suggest Corrections

Similar questions

x, 5 x, 9 x

(3 x + 25)^{o}, (5 x + 45)^{o}

(12 x + 10)^{o}

5 x + 12, 3 x + 18, 2 x + 20

x

2 x, 3 x

5 x

5 x

(3 x - 1)

60 c m^{2}

Join BYJU'S Learning Program