Question

Three angles of a triangle (3x + 50). 6 + 20) and (2x + 20). Greatest angle of the triangle is -​

Answer 1

Answer:

Here you go

Step-by-step explanation:

Hope it helps!

Answer 2

Answer:

Correct Question :

• Three angles of a triangle (3x + 50), (x + 20) and (2x + 20). Greatest angles of the triangle is ?

Given :

• Three angles of a triangle is (3x + 50), (x + 20) and (2x + 20).

To Find :-

• What is the greatest angles of a triangle.

Solution :-

Let,

$\mapsto \bf First\: Angle_{(Triangle)} =\: (3x + 50)$

$\mapsto \bf Second\: Angle_{(Triangle)} =\: (x + 20)$

$\mapsto \bf Third\: Angle_{(Triangle)} =\: (2x + 20)$

As we know that :

$\footnotesize \bigstar\: \: \sf\boxed{\bold{\pink{Sum\: of\: all\: angles_{(Triangle)} =\: 180^{\circ}}}}\: \: \bigstar$

According to the question by using the formula we get,

$\implies \sf (3x + 50) + (x + 20) + (2x + 20) =\: 180^{\circ}$

$\implies \sf 3x + 50 + x + 20 + 2x + 20 =\: 180^{\circ}$

$\implies \sf 3x + x + 2x + 50 + 20 + 20 =\: 180^{\circ}$

$\implies \sf 6x + 90 =\: 180$

$\implies \sf 6x =\: 180 - 90$

$\implies \sf 6x =\: 90$

$\implies \sf x =\: \dfrac{90}{6}$

$\implies \sf x =\: 15^{\circ}$

Hence, the required angles of the triangle are :

✫ First Angle Of Triangle :-

➳ First Angle = (3x + 50)

➳ First Angle = 3(15) + 50

➳ First Angle = 45 + 50

➳ First Angle Of Triangle = 95°

✫ Second Angle Of Triangle :-

➳ Second Angle = (x + 20)

➳ Second Angle = (15 + 20)

➳ Second Angle Of Triangle = 35°

✫ Third Angle Of Triangle :-

➳ Third Angle = (2x + 20)

➳ Third Angle = 2(15) + 20

➳ Third Angle = 30 + 20

➳ Third Angle Of Triangle = 50°

$\therefore$ The greatest angles of a triangle is 95° .