1. In a triangle ABC, if angleA +angleB = 65° and angleB + angleC = 140°, then find the measure of angleB.
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If angle A + Angle B = 65°
then 65° ÷ 2
= 32.5°
if Angle B + Angle C = 140°
so 140 ÷ 2
= 70 °
32.5° + 70°
= 102.5° Is the measure of Angle B
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Answer: if these angles are belongs to triangle then
A+B+C=180----(1)
A+B=65----(2)
B+C=140---(3)
add (2) and (3)
u get A+2B+C=205---(4)
subtract (1) from (4)
B=25
put B =25 in (3)
C=115
put B in (2)
A=40
therefore
A=40,B=25, C=115
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