Question

Whatis the value of the exterior angle n? http://i49.tinypic.com/2eofl0m.jpg

Answer 1

Answer on Question#34760 - Math - Geometry

Question.

What is the value of the exterior angle $n$ ?

Solution.

$$n + k = 1 8 0 {}^ {\circ}$$

We can find $k$ from the triangle:

$$k + 2 0 {}^ {\circ} + 4 9 {}^ {\circ} = 1 8 0 {}^ {\circ} \rightarrow k = 1 1 1 {}^ {\circ}$$

Thus, $n = 180{}^{\circ} - k = 180{}^{\circ} - 111{}^{\circ} = 69{}^{\circ}$

Answer. $69{}^{\circ}$