Question

811
Find x
and
y show the steps and the property used.
cm
100
50
Hoe
Х
8 cm​

Answer 1

$1)By \: pythogorous \: theorm \\ {hyp}^{2} = {side}^{2} + {side}^{2} \\ {x}^{2} = {(6)}^{2} + {(8)}^{2} \\ = 36 + 64 \\ = 100 \\ x = \sqrt{100 } \\ \green{\boxed{\pink{x = 10°}}}$

$2)In \: straight \: line \\ \: angle = 180° \\ so \\ x + 110 = 180° \\ = 180°-110° \\\green{ \boxed{ \pink{x=70°}}}$

$3)In \: triangle \\ sum \: of \: 3 \: angles \: = \: 180°. \\ Given \: triangle \: is \: \\ Isosceles \: triangle \\ So, \: Two \: angles \: are \: equal. \\ x+x+100°=180° \\ 2x + 100° = 180° \\ 2x = 180° - 100° \\ 2x = 80°$

$\\ x = \frac{80}{2} \\ \: \green{ \boxed{ \pink{x = 40°}}}$

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