Question

38) Two consecutive angles of a
parallelogram are (x + 60) and (2x + 30). What special name can you give
to this parallelogram?
1. ​

Answer 1

Answer:

according to the theorem of parallelograms sum of 2 consecutive angles is 180,

$or, (x+60)+(2x+30) = 180\\or, 3x+90 = 180\\or, 3x=90\\ or, x=\frac{90}{3}=30\\or, x+60= 30+60=90\\and, 2x+30=2*30+30=90$

thus this is a parallelogram with all angles of 90° thus we can say that it is a rectangle.

Step-by-step explanation: