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Sum of Exterior Angles of a Polygon

The measure o...

Question

The measure of the exterior angle, ∠BCD of ∆ABC is 130°; m∠ABC = 60°. Find the measure of ∠BAC.

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Solution

It is given that measure of exterior angle, ∠BCD of ∆ABC = 130°
Using the exterior angle property,
m∠BCD = m∠ABC + m∠BAC
130° = 60° + m∠BAC
m∠BAC = 130° − 60°
⇒ m∠BAC = 70°
Thus, the measure of ∠BAC = 70°.

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