Question

if the angles of the triangle are 2x+5,3x-15,x-20 find the angles ​

Answer 1

Answer:

∠a = 75°, ∠b = 90° and ∠c = 15°

Step-by-step explanation:

We know that sum of all angles of a triangle is 180°

Let the angles be a, b and c.

Therefore

∠a + ∠b + ∠c = 180°

Substitute the values and you get

2x + 5 + 3x - 15 + x -20 = 180

6x = 210

x = 210/6

x = 35°

Therefore ∠a = 2x + 5

                      = 2 x 35 + 5

                      = 75°

∠b = 3x - 15

    = 105 - 15

    = 90°

∠c = x - 20

     = 35 - 20

    =  15°

Therefore ∠a = 75°, ∠b = 90° and ∠c = 15°

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