Question

the three angles of the triangle is in the 3:4:5 find all angles of the triangle​

Answer 1

Let the angles = 3x,4x,5x

A.T.Q

3x+4x+5x = 180

12x = 180

x = 15°

So,angles are 45° , 60° ,75°

$<marquee>Hope it will help you ⏫</marquee>$

Answer 2

$\huge{\mathfrak{\underline{\underline{\pink{AnSwEr:-}}}}}$

Angles are 30° , 45° and 75°

$\huge{\mathfrak{\underline{\underline{\blue{Explanation:-}}}}}$

Given :-

The angles of Δ are in ratio of 3:4:5

________________________

To Find :-

Measure of angles

__________________________

Solution :-

Let the angles be 3x, 4x and 5x

Then We know that

$\LARGE{\mathbf{\star{\boxed{\boxed{\red{Sum \; of \; Angles \; = \; 180^{\circ}}}}}}}$

____________[Put Values]

⇒ 3x + 4x + 5x = 180°

⇒ 12x = 180

⇒ x = 180/12

⇒ 15°

$\rule{200}{1}$

One Angle = 3(15°)

⇒ 45°

$\bf{\large{\star{\underline{\boxed{\orange{1st \; angle \; = \; 45^{\circ}}}}}}}$

______________

Second Angle = 4(15°)

⇒ 60°

$\bf{\large{\star{\underline{\boxed{\orange{2nd \; angle \; = \; 60^{\circ}}}}}}}$

_____________________

Third Angle = 5(15°)

⇒ 75°

$\bf{\large{\star{\underline{\boxed{\orange{3rd \; angle \; = \; 75^{\circ}}}}}}}$

$\rule{200}{1}$

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