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Tpy6a [65]
2 years ago
14

Find the value of x in the figure.

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
6 0

Answer:

x=28

Step-by-step explanation:

maksim [4K]2 years ago
4 0

\huge\bold{To\:find:}

✎ The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\sf\purple{The\:value\:of\:x\:is\:28°. }

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

Since it is right-angle,

Sum \: of \: angles \:  =  90° \\ ⇢ (2x + 1) + 33 °  = 90°  \\ ⇢2x + 34°  = 90°  \\ ⇢2x = 90°  - 34°  \\⇢ 2x = 56°  \\⇢ x =  \frac{56° }{2}  \\ ⇢x = 28°

\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}

\huge\bold{To\:verify :}

(2x + 1) + 33°  = 90°  \\ ➡ \: 2 \times 28°  + 1 + 33°  = 90°  \\ ➡ \: 56°  + 34°  = 90°  \\ ➡ \: 90°  = 90°  \\  ➡ \: L.H.S.=R. H. S

Hence verified.

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

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