Question

find the size of each unknown angle and its answer is 26°.​

Answer 1

Answer:

Here is your answer pls check

Answer 2

Step-by-step explanation:

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$\huge{\blue{\fbox{\bold{\red{UR\:QUESTION}}}}}$

$\huge {\mathbf {\purple {Q.}}}}$find the size of each unknown angle and its answer is 26°.

$\huge{\blue{\fbox{\bold{\red{UR\:ANSWER}}}}}$ ✓

$\Large\bold\purple{given,}$

$\sf\dashrightarrow \angle ACB =116 \degree$

$\sf\dashrightarrow \triangle ABC \:is\:an\:right\:angled\:triangle$

$\sf\dashrightarrow \angle ABC =90 \degree$

$\sf\dashrightarrow point \:O \:is\: the \:center\: of \:the \:circle$

$\Large\bold\green{to\:find,}$

$\large\dashrightarrow value\:of\:x$

$\large\dashrightarrow \angle BAC$

$\Large\bold\purple{solution,}$

$\sf\implies taking\:DB,$

$\sf\underline\bold{by\:angle\:sum\:property}$

$\sf\implies \angle ACD+ \angle ACB=180 \degree$

$\sf\implies \angle ACB =180 \degree - 116 \degree$

$\sf\implies \angle ACB =64 \degree$

$\sf{\blue{\fbox{\red{\angle ACB =64}}}}$

$\Large\underline\bold{diagram\:of\:right\:triangle}$

$\setlength{\unitlength}{1.6mm}\begin{picture}(30,20)\linethickness{0.1mm}\put(0,0){\line(0,1){37.5}}\put(0,0){\line(1,0){25}}\put(25,0){\line(-2,3){25}}\end{picture}\put(-32,18){}\put(-18,-1.5){}\put(-18.2,20){}$

$\large now,$

$\sf\dashrightarrow in\: \triangle ABC \:we\:know,$

$\sf\dashrightarrow \angle ABC \:is\:90 \degree$

$\sf\dashrightarrow \angle ACB \:is\:64 \degree$

$\Large\underline\bold{therefore,}$

$\sf\implies we\:know\:that\:a\:triangle\:is\:of\:180 \degree$

$\sf\implies by\:angle\:sum\:property,$

$\sf\implies \angle ABC+ \angle ACB+ \angle \angle CAB =180 \degree$

$\sf\implies 90 \degree + 64 \degree +\angle CAB = 180 \degree$

$\sf\implies 154 \degree + \angle CAB =180 \degree$

$\sf\implies \angle CAB =180 \degree -154\degree$

$\sf\implies \angle CAB =26 \degree$

$\huge{\blue{\fbox{\red{\angle CAB =26 \degree}}}}$

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$\tt\huge{\text{BE \:BRAINLY}}$

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