Question

The acute angle of a right triangle are in the ratio 1:5.find the measurement of those angles

Answer 1

Answer:

1st angle = 15°

2nd angle = 75°

Step-by-step explanation:

The acute angles are in the ratio 1 : 5

So, let the 1st acute angle be 1x i.e. x and let the 2nd acute angle be 5x

The measure of a right angled triangle is 90°

According to the question,

x + 5x = 90

=> 6x = 90

=> x = $\dfrac{90}{6}$

=> x = 15

1st angle => x

=> 15°

2nd angle => 5x

=> 5 * 15

=> 75°

∴ The acute angles which are in the ratio 1 : 5 are 15° and 75°

Answer 2

$\bf\huge\boxed{\boxed{\boxed{\:Cybary\:Radhe\:Radhe}}}$

Acute angles are in the ratio 1 : 5

Suppose the 1st acute angle be 1p be p

Suppose the 2nd acute angle be 5p

Measure of right angled triangle is = 90°

$\bf\huge\boxed{\boxed{Hence}}}$

p + 5p = 90

=> 6p = 90

=> p = $\bf\huge\frac{90}{6}$

=> p = 15

1st angle => p

$\bf\huge\boxed{\boxed{\boxed{15}}}$

2nd angle => 5p

=> 5 × 15

$\bf\huge\boxed{\boxed{75}}}$

$\bf\huge\boxed{\boxed{\boxed{Radhe\:Radhe}}}$