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the measure of angle BAC is 90°
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Step-by-step explanation:
<DAC = <C[opp. angles of]
<BAD = <B[equal sides. ]
<DAC = 40°
<BAD = <B
<A+<B+<C = 180°[sum of angles of a ∆ is 180°]
<DAC+<BAD+<B+40° = 180°
40°+<B+<B+40° = 180°
2<B = 180°–80°
2<B = 100°
<B = 50°
<A = <DAC+<BAD
<A = 40°+<B
<A = 40°+50°
<A = 90°
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