Question

Plzzzz help me...... ​

Answer 1

$\: \: \: \: \:{\large{\bold{\sf{\underbrace{Understanding \: the \: question}}}}}$

• ☞ This question says that there is figure given of circle and this question ask us to find the value of x in given circle. 4 points are given as A, B, C and D. Some lines are drawn too. They are intersecting each other. Here AOD form a straight line. Point O is centre point and measure 130° Am by seeming this we get it how to do this question let's see.

$\: \: \: \: \:{\large{\bold{\sf{\underline{Full \: solution}}}}}$

☞ <AOC + <COD = 180° ( Linear Pair )

☞ <AOC + 130° = 180°

☞ <AOC = 180° - 130° ( - = + ; + = - )

☞ <AOC = 50°

$\rule{300}{2}$

☞ 2<ABC = <AOC

☞ 2x = 50° ( Given and Finded )

• ☞ x = 50° / 2

• ☞ x = 25°

Henceforth, the measurement of x is 25°

$\: \: \: \: \:{\large{\bold{\sf{\underbrace{More \: information}}}}}$

Diagram of circle :-

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large x\ cm}\end{picture}$

Circle related :-

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(1.6,-1.6)(1.6,-1.6)(1.6,1.6)\qbezier (-1.6,-1.6)(-1.6,-1.6)(-1.6,1.6)\qbezier (-1.6,-1.6)(-1.6,-1.6)(1.6,-1.6)\qbezier (-1.6,1.6)(-1.6,1.6)(1.6,1.6)\put (-2.1,1.8){\sf A}\put (1.8,1.75){\sf B}\put (1.9,-2){\sf C}\put (-2.1,-2.05){\sf D}\qbezier (-1.6,1.6)(-1.6,1.6)(1.6,-1.6)\put (0,0){\circle*{0.15}}\put (0.15,0.1){\bf O}\end{picture}$

Circle with diameter :-

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\linethickness{0.4mm}\qbezier(45,30)(45,30)(5,30)\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\multiput(5,30)(20,0){3}{\circle*{1}}\end{picture}$

Request : -

• Please see this answer from web browser or chrome just saying because I add some diagrams here ( not shown in app ) Thank you.

Answer 2

$\huge\bold{\textbf{\textsf{{\color{pink}{Answer : - }}}}}$

<ᴀᴏᴄ + <ᴄᴏᴅ = 180° ( ʟɪɴᴇᴀʀ ᴘᴀɪʀ )

<ᴀᴏᴄ + 130° = 180°

<ᴀᴏᴄ = 180° - 130° ( - = + ; + = - )

<ᴀᴏᴄ = 50°

2<ᴀʙᴄ = <ᴀᴏᴄ

2x = 50° ( ɢɪᴠᴇɴ ᴀɴᴅ ғɪɴᴅᴇᴅ )

x = 50° / 2

x = 25°

ʜᴇɴᴄᴇ ғᴏʀᴛʜ, ᴛʜᴇ ᴍᴇᴀsᴜʀᴇᴍᴇɴᴛ ᴏғ x ɪs 25°