One of the angles of a triangle is 75°. If the difference of other two is 35°, then the largest angle of other two angles has a measure ____
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answer Is 70°
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Step-by-step explanation:
one angle of a triangle is = 75
let the other two be x and y
we know that x-y=35 (given)
therefore x=35+y
therefore by angle sum property
75 + x + = 180
75 + 35 + y + y = 180
therefrore 2y = 70
y = 70/2
y=35
therefore from eq 1
we have x=35+y
x=35+35
therefore x = 70
therefore the largest angle of other two angles has a measure of 70 degrees
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