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.

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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 1

# 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 \(360^{\circ}\). ## Step 2: Given that the sum of the exterior angles \(a, b, c, d\) is \(320^{\circ}\), we can calculate the angle \(f\) by subtracting the sum of angles \(a, b, c, d\) from the total sum of exterior angles of the polygon, which is \(360^{\circ}\). ### The formula to calculate angle \(f\) 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 \(f = 360^{\circ} - 320^{\circ} = 40^{\circ}\). So, the size of the angle marked \(f\) is \(40^{\circ}\).

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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.

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