Question

16. In the figure , find x
X
70
60​

Answer 1

• Value of x is 140°.

Step-by-step explanation:

To find:-

• Value of x.

Solution:-

∠

Sum of all angles forms on straight line is equal to 180°. We also say this statement be $\blue{\sf Linear \: pair.}$

So,

$\sf \leadsto \angle1 + 90 \degree = 180 \degree$

$\sf \leadsto \angle1 = 180 \degree - 90 \degree$

$\leadsto \boxed{\sf \angle1 = 90 \degree }$

Given figure is a quadrilateral. Because It has four sides.

We know,

Sum of all interior angles of quadrilateral is 360°.

So,

$\sf \leadsto \angle1 + x + 70 \degree + 60 \degree = 360 \degree$

$\sf \leadsto 90 \degree + x + 130 \degree = 360 \degree$

$\sf \leadsto x + 220 \degree = 360 \degree$

$\sf \leadsto x = 360 \degree - 220 \degree$

$\sf \leadsto \purple{ \boxed{ \sf \bold{x = 140 \degree}} \bigstar}$

Therefore,

Value of x is 140°.

Answer 2

$\star\underline{\mathtt\orange{❥Q} \mathfrak\blue{u }\mathfrak\blue{E} \mathbb\purple{ s}\mathtt\orange{T} \mathbb\pink{iOn}}\star\:$

16. In the figure , find x

X

70

60

$\star\underbrace{\mathtt\red{❥ᴀ} \mathtt\green{n }\mathtt\blue{S} \mathtt\purple{W}\mathtt\orange{e} \mathtt\pink{R}}\star\:$

${ { \underbrace{ \mathbb{ \red{GiVeN\ }}}}}$

$the\: values\: are 70°, 60°$

${ { \underbrace{ \mathbb{ \red{To\:PrOvE\ }}}}}$

• $Value of x$

${ \color{aqua}{ \underbrace{ \underline{ \color{lime}{ \mathbb{\star SoLuTiOn\star }}}}}}$

$\angle A +90°=180°——(Linear \:pair)$

$\angle A=180-90$

${\boxed {\boxed {\angle A=90}}}$

$sum \: of \: the \: angles \: of \: a \: quadrilateral = 360°$

$\angle A+x+70+60=360$

$90+x+70+70=360$

$x+220=360$

$x=360-220$

${\boxed {\boxed {x=140°}}}$

$\therefore the\: value\: of\: {\boxed {\boxed {x=140°}}}$

$\blue{\boxed{\blue{ \bold{\fcolorbox{red}{black}{\green{Hope\:It\:Helps}}}}}}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5069}}}}}}}}}}}}}}}$