Math, asked by ranianika, 1 day ago

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

Answers

Answered by Anonymous
67

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\times10=50\degree
Answered by studylover001
52

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
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