Determine the value of x.
(10x +11)
(7x +26) °
(x+3)°

The value of x is 3

Step-by-step explanation:

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

In the given triangle

∵ The angle of measure (7x + 26)° is an exterior angle

∵ The angles of measures (10x + 11)° and (x + 3)° are the opposite

   interior angles to this angle

→ By using the rule above

∴ (10x + 11)° + (x + 3)° = (7x + 26)°

→ Add the like terms in the left side

∵ (10x + x) + (11 + 3) = 7x + 26

∴ 11x + 14 = 7x + 26

→ Subtract 7x from both sides

∵ 11x - 7x + 14 = 7x - 7x + 26

∴ 4x + 14 = 26

→ Subtract 14 from both sides

∵ 4x + 14 - 14 = 26 - 14

∴ 4x = 12

→ Divide both sides by 4 to find x

∵ =

∴ x = 3

∴ The value of x = 3

its definatley   this on your answer choice?

d

step-by-step explanation: