Question

17. In parallelogram PQRS,anglea P = angle Q+ 20%, find angle R​

Answer 1

Answer:

∠R = 100°

Step-by-step explanation:

a parallelogram pqrs

angle P= angle Q + 20°  

To Find :   angle r

Solution:

Sum of adjacent angles of parallelogram = 180°

∠ P + ∠Q  = 180°

∠ P =  ∠Q + 20°  

=>  ∠Q + 20° + ∠Q  = 180°

=> 2∠Q  = 160°

=> ∠Q  = 80°

∠ P =  80°+ 20°   = 100°

opposite angles of a parallelogram are equal

=> ∠R = ∠ P = 100°

Hence ∠R = 100°

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