Question

angles of a triangle are x, x+10 and x+20. Find the angles?​

Answer 1

Answer:

50,60,70

Step-by-step explanation:

180=x+(x+10)+(x+20)

180=3x+30

=180-30=3x

=150=3x

=x=150÷3

=50

so let's see all angles by x

x=50

x+10=60

x+20=70

Answer 2

We are assuming that the triangle is equilateral!

And we know that sum of all angles of an equilateral triangle is 180°.

$\begin{gathered}\\ \tt{:}\dashrightarrow x+x+10+x+20=180°\end{gathered}$

$\begin{gathered}\\ \tt{:}\dashrightarrow 3x+30=180\end{gathered}$

$\begin{gathered}\\ \tt{:}\dashrightarrow 3x=180-30\end{gathered}$

$\begin{gathered}\\ \tt{:}\dashrightarrow 3x=150\end{gathered}$

$\begin{gathered}\\ \tt{:}\dashrightarrow x=50\end{gathered}$

Now,

$\large\color{pink}{ \tt{∠1}}$

• =x
• =50°

$\large\color{red}{ \tt{∠2}}$

• =x+10°
• =50+10°
• =60°

$\large\color{blue}{ \tt{∠3}}$

• =x+20°
• =50+20°
• =70°

Therefore, The three angles of triangle are 50, 60 and 70°.

$\large\pink{\boxed{\tt{\colorbox{black}{carry on learning}}}}\:$