Answer:
75°, 85°, 95°, 105°
Step-by-step explanation:
Since the 4 angles form an AP, then the 4 angles are
a, a + d, a + 2d, a + 3d
where a is the first term and d the common difference
The sum of the angles in a quadrilateral = 360° thus
a + a + d + a + 2d + a + 3d = 360, that is
4a + 6d = 360, substitute d = 10
4a + 60 = 360 ( subtract 60 from both sides )
4a = 300 ( divide both sides by 4 )
a = 75
Thus the 4 angles are
75°, 75° + 10° = 85°, 75° + 20 = 95°, 75° + 30° = 105°
