Question

The ratio of two acute angles of a right angled triangle is 4:5,then find the values of both acute angles.

Answer 1

Given:

• Ratio of angles of two acute angles are 4:5.

To Find:

• Find the values of both acute angles =?

Solution:

• Let's say that,the two acute angles of a triangle are 4x and 5x respectively.

Therefore,

$\sf \implies \: 4x + 5x = 90 \\ \\ \sf \implies \: 9x = 90 \\ \\ \sf \implies \: x = \cancel\frac{90}{9} \\ \\ \sf \implies \: x = 10$

Hence,

• First acute angle = 4x = 4 $\times$ 10 = 40$\degree$
• Second acute angle = 5x = 5$\times$10=50$\degree$

Answer 2

Answer:

Given :

Ratio of angles of two acute angles are 4:5.

To Find :

Find the values of both acute angles = ?

Solution :

Let's say that, the two acute angles of a triangle are 4x and 5x respectively.

Therefore,

• 4x + 5x = 90
• 9x = 90
• x= 90/9
• x = 10