in a triangle ABC, 2A + 2B= 65 and 28+ 2C 140, find all the angles.
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Answer:
∠A+∠B=65 −−−(1)
∠A+∠C=140 −−−(2)
we know ∠A+∠B+∠C=180degree
from (1)65 +∠C=180degree
from (2) ∠C=115
from (2)
∠A+∠C=140
∠A+25=65
∠A=40degree
from (1)∠A+∠B=65
∠B=25degree
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