a) In AABC, AB=BC, A=72. and C=2x, find the measure of B and C.
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Answer:
Given:
In AABC, AB=BC,
A=72. and C=2x
Let ∠ b be x
According to angle sum property,
⇒∠A+∠B+∠C=180°
⇒72°+x+2x=180°
⇒3x=180°-72°
⇒3x=108°
⇒x=108°/3
⇒x=36°
So ∠ b is 36° and ∠c is 72°.
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