Question

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.

Answer 1

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. :-)

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