What are the measures of angles Q and R
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Angle Q = 93° & angle R = 87°
The sum of any two adjacent angles of a parallelogram is equal to 180°, i.e. they are supplementary 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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