Answer:
1800°
Step-by-step explanation:
The sum of angle in any n sided plane figure is given by the formula
(n - 2)180
where n is the number of side
Therefore, for a quadrilateral which has 4 sides,
n = 4
sum of angles in a quadrilateral = (4 - 2)180°
= 2 × 180
= 360°
for a decagon which has 10 sides
n = 10
sum of angles in a decagon = (10 - 2)180°
= 8 × 180
= 1440°
The sum of the measures of the angles in a quadrilateral and in a decagon
= 360° + 1440°
= 1800°
