Question

In a Triangle ABC if angle A=x, angle B=2x , angle C=3x then 3 angles are?​

Answer 1

${\huge{\underline{\underline{\sf{\blue{SOLUTION::-}}}}}}$

Given

⠀⠀

⠀⠀⠀⠀ • ∠A = x

⠀⠀⠀⠀ • ∠B= 2x

⠀⠀⠀⠀ • ∠C= 3x

⠀⠀

To Calculate

⠀⠀

⠀⠀⠀⠀ • All Three angles __?

⠀⠀

Step by step explanation

⠀⠀⠀⠀

⠀⠀⠀ • ∠A = x {Given}

⠀⠀⠀ • ∠B= 2x{Given}

⠀⠀ ⠀ • ∠C= 3x{Given}

We know that,

Sum of all angles of a triangle is 180

⠀⠀

∠A+∠B+∠C= 180°

➡️ x+2x+3x=180°

➡️ 6x = 180°

➡️ x= 180/6

➡️ x= 30

Putting value of x

∠A= x =》 30°

∠ B= 2x =》2×30 = 60°

∠ C= 3x =》 3×30 = 90°

⠀⠀⠀⠀ ☆ Angles are ⤵️

⠀⠀⠀⠀⠀⠀⠀⠀ ∠A = 30°

⠀⠀⠀⠀ ⠀⠀⠀⠀ ∠B= 60°

⠀⠀⠀⠀ ⠀⠀⠀⠀ ∠C= 90°

_____________________________________________

Answer 2

⠀

$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

⠀

$\sf{\underline{\green{AnswEr:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• $\angle$A = 30°
• $\angle$B = 60°
• $\angle$C = 90°

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Given:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• In a Triangle ABC if Angle A = x, Angle B = 2x and Angle C = 3x.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Find:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The value of all three angles = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Explanation:-}}}$

$\sf{\underline\purple{As\:We\:know\:that:-}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bigstar\boxed{\sf{\red{Sum\: of \: all\: angles\:of\:a\: triangle = 180\degree}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• $\angle$A + $\angle$B + $\angle$C = 180°

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\pink{Putting\:the\:values:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {x + 2x + 3x = 180\degree}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {6x = 180\degree}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {x = \cancel\dfrac{180}{6}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow{\gray{ \underbrace{\boxed{\underline{\underline{\blue{ \tt x = 30 }}}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• $\angle$A = 30°

• $\angle$B = 2 × 30
• $\angle$B = 60°

• $\angle$C = 3 × 30
• $\angle$C = 90°

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\rule{200}{2}$