Question

find x if angle b = 90 degree ​

Answer 1

Answer:

180 - 45

135 degrees

Step-by-step explanation:

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Answer 2

$\huge\tt\underline\red{Ans}\underline {w}\underline\purple{er}\underline{:}\orange {135°}$

$\huge \underbrace \mathfrak \red{\bigstar Solution}$

${ \bold { \underline{\large{Given : - }}}} \:$

$AB = BC \\ \angle B = 90°$

${ \bold { \underline{\large{To \: Find : - }}}} \:$

$\angle CAD = ?$

$\tt{ \bold { \underline{\large{\green{Solution : - }}}}} \:$

$\tt \because We \: know \: that \: \blue{Angle \: opp. \: to \: equal \: side \: are \: equal}$

$\therefore \angle BAC = \angle BCA ---(1)$

$\tt Now \:by \: Angle \: sum \: property \: of\: triangle$

$\angle BAC + \angle BCA + \angle ABC = 180°$

$\tt \angle BAC + \angle BAC + 90°= 180° [by \:equation\: (1) ]$

$2 \angle BAC = 180° - 90°$

$2 \angle BAC = 90°$

$\cancel {2 }\angle BAC =\cancel{ 90°}$

$\angle BAC = 45°$

$Now,$

$\angle BAC + \angle CAD = 180° \: [by \: L.P ]$

$45° + \angle CAD = 180°$

$\angle CAD = 180° - 45°$

$\angle CAD = 135° \: \: \: \mathfrak{\orange {ANS }}$

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