Question

please tell please guys plz ​

Answer 1

Step-by-step explanation:

The equation formed is,

( 2x + 15 ) + 85 + ( x + 20 ) = 180

3x + 120 = 180

3x = 180 - 120

3x = 60

x = 20

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt The\:sum\:of\:three \:angles \:of\:a\:triangle \:is\:{180}^{\circ}.\\\tt If\:The\:three \:angles \:are\:{(2x+15)}^{\circ}, {85}^{\circ}\:and\:{(x+20)}^{\circ}.\\\tt Find\:the\:value\:of\:x\:is$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

$\sf \bf \angle A={\Big(2x+15\Big)}^{\circ}$

$\sf \bf \angle B={85}^{\circ}$

$\sf \bf \angle C={\Big(x+20\Big)}^{\circ}$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

$\sf \bf Value \:of \:x$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

$\sf \bf \implies \angle A+\angle B+\angle C ={180}^{\circ}$

$\sf \bf \implies {\Big(2x+15\Big)}^{\circ}+{85}^{\circ}+{\Big(x+20\Big)}^{\circ} ={180}^{\circ}$

$\sf \bf \implies {2x}^{\circ} +{15}^{\circ} +{85}^{\circ}+{x}^{\circ} +{20}^{\circ} ={180}^{\circ}$

$\sf \bf \implies {3x}^{\circ} +{120}^{\circ} ={180}^{\circ}$

$\sf \bf \implies 3x= {180}^{\circ}-{120}^{\circ}$

$\sf \bf \implies 3x= {60}^{\circ}$

$\sf \bf \implies x=\dfrac{{60}^{\circ}}{3}$

$\implies{\boxed {\boxed {\color {blue} {\sf \bf x={20}^{\circ}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\color {green} {\sf Identities}}$

$\sf \bf {\Big(a+b\Big)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {\Big(a-b\Big)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf \Big(a+b\Big)\Big(a-n\Big) ={a}^{2}-{b}^{2}$