one of the angle of a tringle is 75 if the difference of other two is 35 then find the largest angle of the tringle.
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Answer:
It's 75°, which is given in the question!
Step-by-step explanation:
Let the other two angles be x and y.
The sum of angles of a triangle is 180°.
∴ x + y + 75 = 180
x + y = 180 - 75
x + y = 105 → (1)
Given that the difference of the other two angles is 35.
∴ x - y = 35 → (2)
(1) + (2)
x + y + x - y = 105 + 35
2x = 140
x = 140 / 2
x = 70
(1) - (2)
x + y - (x - y) = 105 - 35
x + y - x + y = 70
2y = 70
y = 70 / 2
y = 35
So the angles of the triangle are 35°, 70° and 75°.
Among these, the largest is 75°, which is given in the question.
∴ 75° is the answer.
Hope this may be helpful.
Thank you. Have a nice day. :-)
#adithyasajeevan
muditchaudhary611:
thanks
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