Question

Two adjacent angles of parallelogram PQRS are in the ratio 2 :7. find all the angles of parellogram.​

Answer 1

Answer:

☆ Given -:

Two adjacent angle of the Parallelogram is in the ratio :

$\implies{2:7}$

☆ To find -:

Find all the angles of the Parallelogram

☆ Taken -:

Let the angles be x

So , the equation is :

$\boxed{2x+7x=180°}$

☆ Concept -:

See , after finding the value of x . Just multiply it with 2 and 7 . The number which will come just divide both with 2 to find the each angle of the parallelogram.

☆ Solution -:

$:\implies{2x+7x=180°}$

$:\implies{9x=180°}$

$:\implies{x=\frac{180°}{9}}$

$:\implies{x=20°}$

Now multiply:

$:\implies{2×20°}$

$:\implies{40°}$

$:\implies{7×20°}$

$:\implies{140°}$

So , the two adjacent angles of the Parallelogram is 40° and 140° .

Or angle P and S is 40°

And angle Q and R is 140°

Now , find all angles of parallelogram:

$:\implies{PS= 40°/2=20°}$

So , angle P = 20° and angle S = 20°

Because in Parallelogram the two angles are same .

$:\implies{QR=140°/2=70°}$

So , angle Q = 70° and angle R = 70°

☆ Answer -:

Angle P = 20°

Angle Q = 70°

Angle R = 70°

Angle S = 20°