Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 4 | E Maths
One Answer Below
Anyone can contribute an answer, even non-tutors.
Please How do I find the sum of the stated angles.
= (n - 2) x 180°, where n is the number of sides
Sum of all interior angles
= sum of interior angles in quadrilateral + sum of interior angles in the 5 sided polygon
= 180°(4 - 2) + 180°(5 - 2)
= 360° + 540°
= 900°
Or
The whole figure is a 7 sided polygon.
Sum of interior angles
= (n - 2) x 180°, where n is the number of sides
= (7 - 2) x 180°
= 900°
There are 7 vertices. Each vertice has a total angle of 360°.
Sum of all exterior angles
= angle sum of all vertices - angle sum of interior angles
= 360° x 7 - 900°
= 1620°
See 1 Answer
The question requires us to find the sum of all the external angles of the figure.
We find that there are seven vertices in the figure each having 360 degrees, bringing rise to a total of 2520 degrees in angles.
The sum of interior angles of a square is 360 degrees, while that of pentagon is 540 degrees, both using the formula 180 x (n - 2) for the sum of interior angles of an n-sided polygon.
From there, total sum of external angles
= 2520 - 360 - 540
= 1620 degrees