Side BC of AABC is extended to point D. The measure of ZACD is 120°. If the
interior opposite angles are in the ratio 3 : 5, then find the measure of all the angles
of the triangle.
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Side BC of AABC is extended to point D. The measure of ZACD is 120°. If the interior opposite angles are in the ratio 3 : 5, then find the measure of all the angles of the triangle.
ANSWER
40° IS THE CORRECT ANSWER
∠ACD=120d
∠ABC∠CAB=12units
∴∠ACB=180∘−120∘
∠ACB=60∘
As we know that
∠A+∠B+∠C=180∘
∠A+B=180∘−60∘
∠A+∠B=120∘
3 units=120∘
1 unit=40∘
∠ABC=1×40∘=40∘
∠CAB=2×40∘=80∘
∴∠ABC=40∘
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