Geometry Practice Test 2

Question : 37 of 40

Marks: +1, -0

The side BC of the triangle ABC is extended to D. If ∠ACD = 120°, find ∠BAC if ∠ABC =

2/3

Solution:

∠ABC =

2/3

∠BAC
∠ACD = 120°

We know that the sum of two interior angles is equal to the exterior angle of the triangle.
∠ABC + ∠BAC = 120°

2/3

≤BAC + ∠BAC = 120°

5/3

∠BAC = 120°
∠BAC =

{120×3}/5

= 72°

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