turkey-yks 2018 Q37

turkey-yks · Other · yks-tyt Not Maths
The measure of an interior angle of a regular $n$-sided polygon is calculated as $$\frac{(n-2) \cdot 180^{\circ}}{n}.$$
In the figure, a regular nonagon and a regular pentagon sharing one side are given, along with a blue line segment connecting one vertex of each polygon.
Accordingly, what is the measure of angle $x$ in degrees?
A) 64
B) 66
C) 68
D) 70
E) 72
The measure of an interior angle of a regular $n$-sided polygon is calculated as
$$\frac{(n-2) \cdot 180^{\circ}}{n}.$$

In the figure, a regular nonagon and a regular pentagon sharing one side are given, along with a blue line segment connecting one vertex of each polygon.

Accordingly, what is the measure of angle $x$ in degrees?

A) 64\\
B) 66\\
C) 68\\
D) 70\\
E) 72