Question

a. Angles of triangles
are in natio 2:4:3 zindall
The angles of the triangles​

Answer 1

Answer:

40, 60, 80

Explanation:

explanation is in image above

hope it will help you

Answer 2

Required Answer:-

⇝ First angle = 40° ;

⇝ Second angle = 80° ;

⇝ Third angle = 60°.

Step - By - Step Instructions:-

Mentioned:

• Angles of the triangle are in the ratio 2:4:3.

To Find:

• The measure of each angle of the triangle.

Solution:

Let the measures of the angles of the given triangle be (2x)°, (4x)° and (3x)° respectively.

Then, 2x + 4x + 3x = 180  ⠀    ⠀    ⠀  [ °•° The sum of the angles of a triangle is 180°]

:⟹ 9x = 180

:⟹ x = 180/9

:⟹ x = 20.

∴ First angle = (2x)°

⠀    ⠀     ⠀     = (2 × 20)°

⠀    ⠀     ⠀     = 40° ;

⠀Second angle = (4x)°

⠀    ⠀    ⠀           = (4 × 20)°

⠀    ⠀    ⠀          = 80° ;

⠀Third angle = (3x)°

⠀    ⠀    ⠀      = (3 × 20)°

⠀    ⠀    ⠀      = 60°.

To verify:

Note: We already know that the sum of the angles of a triangle is 180°.

So,

∴ Angle A + Angle B + Angle C = 180°

Substituting The Values:

:⟹ 40° + 80° + 60° = 180°

:⟹  ⠀    ⠀    180°  = 180°

:⟹  ⠀    ⠀    L.H.S = R.H.S

∴ Hence, Verified ✔

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