Question
The exterior angles have been marked on the shape below. a+b+c+d=320^circ Work out the size of the angle marked f.
Answer
4.2
(316 Votes)
Iola
Expert · Tutor for 3 years
Answer
# Explanation:## Step 1:Firstly, we need to understand the concept of exterior angles of a polygon. The sum of exterior angles of any polygon is always equal to
.## Step 2:Given that the sum of the exterior angles
is
, we can calculate the angle
by subtracting the sum of angles
from the total sum of exterior angles of the polygon, which is
.### The formula to calculate angle
is: ### \(f = 360^{\circ} - (a + b + c + d)\)## Step 3:Substitute the given values into the formula.# Answer:By substituting the given values into the formula, we get
. So, the size of the angle marked
is
.