Respuesta :

Answer:

23.33

Step-by-step explanation:

The sum of the internal angles of a triangle is 180°, which is given by The Angle Sum Property of Triangles.

⇒ 3x - 17 + 2x + 5 + x + 52 = 180

⇒ 6x + 40 = 180

⇒ 6x = 140

⇒ x = 140/6

⇒ x = 70/3

⇒ x = 23.33

rubabzehra9127

Answer: x = 23.333

In any triangle, all the three angles will ALWAYS add up to 180°. According to that:

▪ 180° = <a + <b + <c

(2x + 5) + (3x - 17) + (x + 52) = 180

2x + 5 + 3x - 17 + x + 52 = 180

Rearrange according to like terms

2x + 3x + x + 52 - 17 + 5 = 180

6x + 40 = 180

Now we'll find the value of x

6x = 180 - 40

x = 140/6

By cross cancellation we get

x = 70/3

You could change it into decimal as well

x = 23.333 answer

therefore, the third option that says 23.33 is correct.

Hope that helps...

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