Question

Calculate the value of x​

Answer 1

angle EAD + angle DAC + angle CAB = 180°

3x - 5 + x + 20 + 65 = 180°

4x - 5 + 85 = 180°

4x + 80 = 180°

4x = 180 - 80

4x = 100

$x = \frac{100}{4}$

$x = 25$

Therefore, the angle EAD = 3x - 5

= 3(25) - 5

= 75 - 5

= 70°

and the angle DAC = x + 20

= 25 + 20

= 45°

Answer 2

$\red{\underbrace{\underline{\bf{QUESTION}}}}$

Calculate the value of X

$\green{\underbrace{\underline{\bf{ANSWER}}}}$

$\boxed{HERE}$

$\angle DAB$ $= \: \angle DAC + \angle CAB$

$\therefore \angle DAB$ = x + 20⁰ + 65⁰ $\rightarrow (1)$

$now \:,\: \bf{We\:know\:that}$

$\implies \angle DAE\:+\: \angle DAB \:=\:180⁰$ ( linear pair )

$\implies 3x\:-\:5\:+\:x\:+\:20\:+\:65\:=\:180$ [ from ( 1 ) ]

$\implies 4x\:+\:85\:-\:5\:=\:180$

$\implies 4x\:+\:80\:=\:180$

$\implies 4x\:=\:180\:-\:80$

$\implies x\:=\: \frac{100}{4}$

$\implies x\:=\:25$

$\therefore \bf{\orange{x\:=\:25⁰}}$

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