Question

) The measures of two opposite angles of a parallelogram are
(2x+15) and (3x-10). Find the measures of all angles of the
parallelogram.
​

Answer 1

Answer:

required angles are 115°, 65°,65°, 115°.

To verify,

Sum of total angle of quadrilateral angle is 360°

115°+115°+65°+65°=360°

360°=360°

Step-by-step explanation:

opposite angles are same,

2x+15= 3x-10

2x-3x= -10-15

x= 25

so,

equal angles are, 2x+15 = 2×25+15= 65°

then,

let the other angle be x

sum of two angles is 180°

65° + x = 180°

x = 115°

and,

opposite angles of parallelogram are same..

so,

115°= 115°