Question

A triangle has angle measures x + 15 , 3x − 35 , and 4x. Find the value of x

Answer 1

Because all triangle angle values add up to 180, you can set each of these equations equal to 180.

(x + 15) + (3x - 35) + (4x) = 180
3x + x + 4x = 200
8x = 200

Therefore, x = 25

Answer 2

Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25

Recall :

• A + B + C = 180° (Sum of the internal angles of a triangle)

Hence,

(x + 15) + (3x - 35) + 4x = 180

x + 15 + 3x - 35 + 4x = 180

8x - 20 = 180

8x = 180 + 20

8x = 200

x = 200 / 8

x = 25°

Therefore, the value of x is 25

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