Question

parallelogram if one angle is 15 degree less than twice the smallest angle then find the angles​


please anybody answer this question!!!!!!!!

Answer 1

If ‘x’ is the smallest angle, then the two angles adjacent to it are 2x - 15 each and the angle opposite to it is x.

In a parallelogram, sum of all angles must be equal to 360.

x + x + (2x - 15) + (2x - 15) = 360

6x - 30 = 360

6x = 390

x = 65

2x - 15 = 115

The angles of the parallelogram are 65°, 65°, 115°, and 115°.

Answer 2

Answer:

let the smallest angle be x

sum of adjacent angles is 180

another angle = 2x-15

from the condition,

x+2x-15=180

3x-15=180

3x=180+15

3x=195

x=65°

another angle = 2x-15

=2×65-15

=130-15

=115°