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Step-by-step explanation:
In the figure, by exterior angle property, you have :
∠ ACD = ∠A+ ∠B
∠CBF = ∠A+ ∠C
∠BAE = ∠B+ ∠C
Adding the above equations, you get
∠ACD +∠CBF +∠BAE = ∠A+ ∠B +∠A+ ∠C +∠ B+ ∠C
= 2 (∠A+∠B +∠C)
= 2 x 180° (angle sum of a Δ )
∠ACD +∠CBF +∠BAE =360°
That is the sum of the exterior angles = four right angles. (360° = 4 x 90°)
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