Question

The angles of a triangle are in the ratio of 3:5:2. Find the measure of each
angle of the triangle.
Can someone please explain this question

Answer 1

Answer:

54°, 90° , 36

Step-by-step explanation:

Let all angles of Triangle be x

We know that all three angles of Triangle measure 180°

So, 3x + 5x + 2x = 180°

10 x = 180°

x = 180/10

x = 18

Now Value of Angles

First Angle = 18 x 3 = 54°

Second Angle = 18 x 5 = 90°

Third Angle = 18 x 2 = 36°

I hope this answer helped u

Answer 2

‌$\huge \overline{ \underline{\mid \color{red} \tt Answer \color{black}\mid}}$

‌${\underline{\underline{\boxed{\sf{Sum \: of \: all \: the \: angles \: = \: 180°}}}}}$

$\mathtt{Let \: the \: angles \: be \: :}$

$\circ$ $\mathtt{3x}$

$\circ$ $\mathtt{5x}$

$\circ$ $\mathtt{2x}$

$\fbox{3x \: + \: 5x \: + \: 2x \: = \: 180°}$

${:}\longrightarrow$ $\mathtt{3x \: + \: 5x \: + \: 2x \: = \: 180°}$

${:}\longrightarrow$ $\mathtt{8x \: + \: 2x \: = \: 180°}$

${:}\longrightarrow$ $\mathtt{10x \: = \: 180°}$

${:}\longrightarrow$ $\mathtt{x \: = \: 180° \: ÷ \: 10}$

${:}\longrightarrow$ $\mathtt{x \: = \: 18}$

$\mathtt{The \: Angles \: are \: :}$

$\circ$ $\mathtt{3x \: = \: 54°}$

$\circ$ $\mathtt{5x \: = \: 90°}$

$\circ$ $\mathtt{2x \: = \: 36°}$

$\mathbb{ BE \: \: BRAINLY }$ ‌$\boxed\checkmark$