Question

In a parallelogram ABCD SUM OF TWO ANGLES IS 130°WRITE THE MEASURE OF IT'S ACUTE ANGLE

Answer 1

in a parallelogram sum of 2 angles is 130°
since , it is a parallelogram , the consecutive Angles cannot be 130° as their sum is 180°

therefore , the opposite angles of parallelogram are 130°

we know , sum of all angles of a quadrilateral is 360°

and let one acute angle be x
other acute angle = x (as opposite angles of parallelogram are equal)


so ,
130°+130°+x+x = 360°
=> 2x+260°= 360°

=> 2x = 100°

=> x = 100/2 => 50°


acute angle of parallelogram measures 50°


hope this helps