Respuesta :

Angle Q = 93° & angle R = 87°

What is the relation between adjacent sides of parallelogram ?

The sum of any two adjacent angles of a parallelogram is equal to 180°, i.e. they are supplementary angles.

What are the values of required angles ?

In parallelogram QRST,

∠Q= (9x-6)° & ∠R= (8x-1)°

Here, angle Q & angle R are adjacent angles of the parallelogram QRST.

∴ ∠Q+∠R = 180°

⇒ (9x-6)+(8x-1)= 180

⇒ 9x-6+8x-1 = 180

⇒ 17x-7= 180

⇒ 17x = 180+7

⇒ 17x = 187

⇒ x = 187/17

⇒ x = 11

So, ∠Q= (9x-6)° = {(9×11)-6}° = (99-6)° = 93°

& ∠R= (8x-1)° = {(8×11)-1}° = (88-1)°= 87°

Learn more about measuring angle here :

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