Question

The angles except 90° of a right angle triangle are in the ratio 1 : 5 . Find the angles of the triangle.

Answer 1

$\huge\underline\bold\orange{ƛƝƧƜЄƦ}$

$\blue\star$Let the ratios be 1x and 5x

$\blue\star$As we know that the sum of three angles of triangle is 180⁰

It is given that angle 3 = 90

1 + 2 +3 = 180⁰

x + 5x +90⁰ = 180⁰

6x = 90⁰

x = 90⁰/6

x = 15⁰

• angle 1 = 15
• angle 2 = 5 × 5

= 75⁰

Hope it helps

Answer 2

Answer:

${\huge{\mathfrak{\blue{\underline{\underline{Given:}}}}}}$

A right angle triangle with one angle 90 degree and other two angle with ratio =1:5

1st angle=90degree

2nd angle=1x

3rd angle =5x

${\huge{\mathfrak{\blue{\underline{\underline{Solution:}}}}}}$

Let the ratio be x and 5x.

A/Q

Sum of angles of triangle =180degree

$=>90+x+5x=180\\</p><p>=>90+6x=180\\</p><p>=>6x=180-90\\</p><p>=>x=90÷6\\</p><p>hence,x=15degree...$

${\huge{\mathfrak{\blue{\underline{\underline{Answer:}}}}}}$

so,1st angle=90degree2nd angle=x=15degree3rd angle=5x=5×15=75degree