Question

In the given figure, ABCD is a parallelogram .Find the value of x.

Answer 1

Answer:

$\huge{\underline{\underline{Given→}}}$

• $\rm\green{Above\:figure\:is\:a\:parallelogram}$
• $\rm\color{green}{Angle1=(3x-50°)}$
• $\rm\color{darkgreen}{Angle2=(x+40°)}$

$\huge{\underline{\underline{To\:Find→}}}$

$\rm\purple{→The\:value\:of\:x}$

$\huge{\underline{\underline{Answer→}}}$

$\dashrightarrow$ As the above figure is a parallelogram, so the measure of its opposite angles will be equal.

$\sf\blue{→Angle1=Angle2}$

$\sf\blue{→∠DAB=∠DCB}$

$\sf\blue{→(3x-50°)=(x+40°)}$

$\sf\blue{→3x-x=40°+50°}$

$\sf\blue{→2x=90°}$

$\sf\blue{→x=\dfrac{90°}{2}}$

$\sf\blue{→x=\dfrac{\red{\cancel{\blue{90°}}}}{\red{\cancel{\blue{2}}}}}$

$\sf\blue{→x=45°}$

$\sf{\boxed{\boxed{\pink{→x=45°✔}}}}$

☞ Hence the value of x is 45° which is the required answer.

HOPE IT HELPS.

Answer 2

Step-by-step explanation:

x+40°=180°. (supplementary) angles .......(i)

3x-50°=180°.(supplementary) angles .......(ii)

from(i) & (ii) we get

=> x+40°+3x+50°=180°

=>4x-10=180°

=>4x=190°

=> x=190÷4

=>x=47.5

Hence the value of x is 47.5

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