Question

Find the missing angel

Answer 1

$\huge\bold{Given:}$

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. ✔

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