Geometry
which new angle is created by extending one side of a triangle?
a. a remote interior angle
b. an adjacent interior angle
c. an exterior angle
d. a complementary angle

Extending one side of the given triangle one more angle can be obtained.

An exterior angle is the angle between any side of a shape, and a line extended from the next side.

The remote interior angles are the two angles inside the triangle that do not share a vertex with the exterior angle.

An adjacent interior angle to the exterior angle is the angle that together with this exterior angle are supplementary (when they add up to 180°).

Two angles are complementary when they  add up to 90°.

Extending one side of a triangle you get exterior angle.

correct choice is C

C.an exterior angle

Step-by-step explanation:

Definitions:

Remote interior angle : The two angles inside the triangle that do not share a vertex with the exterior angle.  

Adjacent interior angle : An adjacent interior angle to the exterior angle is the angle that together with this exterior angle are supplementary

An exterior angle : The angle between any side of a shape, and a line extended from the next side.

Complementary angles : Two Angles are Complementary when they add up to 90 degrees.

So, when we extend any side of the triangle so the angle formed with thus extended line satisfy the definition of exterior angle

Thus new angle is created by extending one side of a triangle is exterior angle

Hence Option C is correct

answer:

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!