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Citrus2011 [14]
3 years ago
7

Find the missing angel

Mathematics
1 answer:
qaws [65]3 years ago
4 0

\huge\bold{Given:}

Angle BOC = 65°

Angle AOC =90° ( ∵ it is right angle )

\huge\bold{To\:find:}

The measure of angle AOB "x°".

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

\longrightarrow{\blue{x°\:=\:25°}} 

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

Since it is right-angle,

Sum \: of \: angles \:  =  90°

\longrightarrow{\green{}} x° + 65° = 90°

\longrightarrow{\green{}} x° = 90° - 65°

\longrightarrow{\green{}} x° = 25°

\sf\blue{Therefore,\:the\:measure\:of\:x°\:is\:25°.}

\huge\bold{To\:verify :}

➡ ∠ AOB + ∠ BOC = ∠ AOC

➡ 25° + 65° = 90°

➡ 90° = 90°

➡ L. H. S. = R. H. S

Hence verified. ✔

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}

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