Question

in the parallelogram given above find the value of x ​

Answer 1

Hello,Buddy!!

Given:-

• In a Parallelogram
• Angle 1 = 120°
• Angle 2 = (5x+10)°
• Angle 3 = 6y

To Find:-

• Value of x & y.

Required Solution:-

WKT

• In a Parallelogram adjacent angles are supplementary.

→ Angle 1+Angle 2 = 180°

$120 + (5x + 10) = 180 \\ 130 + 5x = 180 \\ 5x = 180 - 130 \\ x = \cancel \frac{50}{5} \\ x = 10$

• Value of x ➪ 10°

→ Angle 1 = Angle 3 [Opposite Angles of a Parallelogram]

$6y = 120 \\ y = \cancel \frac{120}{60} \\ y = 20$

• Value of y ➪ 20°

$\boxed{\tt{@MrSovereign}}$

Hope This Helps!!