Question

Exterior:100°
Interior:50°
f: interior
F=

Answer 1

f = 50

Explanation:

Since the exterior angle is equal to the sum of the two opposite interior angles of a triangle.

In this case:

Two opposite angles are 50° and f°.

and

Exterior angle is 100°.

So,

100° = 50° + f°

Subtract 50° on both sides:

100° - 50° = 50° + f° - 50°

50° = f°

f° = 50°

Therefore, value of the variable f is 50.

Answer 2

f = 50

Explanation:

the exterior angle of a triangle is equal to the sum of the two opposite interior angles

100° is an exterior angle , then

100 = f + 50 (subtract 50 from both sides )

100 - 50 = f + 50 - 50 , that is

50 = f