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Step-by-step explanation:
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Step-by-step explanation:
1. Given: angleA=44°,(1)
AB=AC, so angleB=angleC---(2)
[Angles opposite to the equal sides are equal]
A°+B°+C°=180°[ Angle sum property]
44°+B°+C°=180°[from (1)]
44°+B°+B°=180°[from (2)]
2B°=180°-44°=136°
B°=136°/2=68°.
Hence, angleB=angleC=68°.
2. Given: angleR=42°----,(1)
PQ=PR, so angleP=angleQ---(2)
[Angles opposite to the equal sides are equal]
P°+Q°+R°=180°[ Angle sum property]
42°+P°+Q°=180°[from (1)]
44°+P°+P°=180°[from (2)]
2P°=180°-42°=138°
P°=138°/2=69°.
Hence, angleP=angleQ=69°.
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