[tex]\huge\bold{To\:find:}[/tex]
✎ The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:10°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ 2x °+ 7x° =90 ° \\ ⇢9x° = 90° \\ ⇢x° = \frac{90°}{9} \\ ⇢x° = 10°[/tex]
[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:10°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]2x° + 7x° = 90° \\ ➡ \: 2 \times 10° +7 \times 10° = 90° \\ ➡ \: 20° + 70° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.ඞ}}}}}∘[/tex]
