Question

calculate the magnitude of x in the given triangle. b. A=x b=50° C=80°​

Answer 1

Step-by-step explanation:

a + b + c = 180°

x + 50° + 80° = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

Answer 2

Given :

$\colorbox{black}{\colorbox{red}{\colorbox{white}{In\: a \: triangle\:ABC}}}$

• $\angle{A}$ = x

• $\angle{B}$ = 50°

• $\angle{C}$ = 80°

To Find :

• $\colorbox{black}{\colorbox{red}{\colorbox{white}{Value\:of\:x}}}$

Solution:

Let's begin

As we know , According to the angle sum property of a triangle

$\huge\colorbox{white}{ \colorbox{white}{\colorbox{white}{Sum\:of\:angles\:=\:180°}}}$

According to the question

We have the value of two angles..Hence we can easily find the value of Third angle by :

$\sf\huge\implies$ (Angle (2) + Angle (3) ) - 180° = Angle (1)

• Angle (2) = 50°

• Angle (3) = 80°

By substituting values :

$\sf\huge\implies$ (50° + 80°) - 180°

$\sf\huge\implies$ 180° - 130°

$\sf\huge\implies$ 50°

Hence the value of x or Angle (1) is equals to 50°

$\huge\bold\color{red} {More\: Information}$

To find sum of angles of any polygon :

$\colorbox{black}{\colorbox{red}{\colorbox{white}{Formula\:=\:(n-2)\:×\:180°}}}$

Here, n is equals to Number of sides

$\bold\color{red} {Triangle}$

$\sf\huge\implies$ (3-2) × 180°

$\sf\huge\implies$ 1 × 180°

$\sf\huge\implies$ 180 °

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