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Question

The sum of the two angles in a triangle is 95 and their difference is 25. Then which of the following are true?


A

75°, 50°, 55°

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B

85°, 65°, 30°

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C

50°, 45°, 85°

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D

60°, 35°, 85°

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Solution

The correct options are
A

75°, 50°, 55°


C

50°, 45°, 85°


D

60°, 35°, 85°


Let the two angles be x and y.
So, x+y=95
x=95y
and, xy=25
95yy=25
952y=25
y=95252
y=35
So, x=9535
x=60
Third angle is 18095=85
So, the angles are 35, 60 and 85.


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