Question

The sum of the two opposite angles of a parallelogram is 150° .Find the measure of any one of the other two angles.

Answer 1

we know that opposite angles of parallelogram are equal
let angle D of parallelogram be x
other angle B = x

and according to question ,
angle A + angle C = 150°

=> sum of all angles of quadrilaterals is 360°

angle A + angle C+ angle B + angle D = 360°
=> 150°+x+x = 360°
=> 2x = 360-150 => 210°

x = 210/2 = 105°


hope this helps

Answer 2

Step-by-step explanation:

Remaining =360°-15O°

=210°

two angles =210°/2

=105°

one angle =105°

and other angle =105°