Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
<h3>What is a Regular Polygon?</h3>
A regular polygon is any n-sided polygon that has equal interior angles and equal sides.
Thus:
- Each angle of a regular hexagon = 120°
- Each angle of a regular pentagon = 108°
Therefore:
x = 360 - 120 - 108
x = 132°
Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
Learn more about regular polygon on:
brainly.com/question/1592456
Answer:
1 3 ...................rotate 3 and it is the same as 1
Answer:
Step-by-step explanation:
![\tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2}](https://tex.z-dn.net/?f=%20%5Ctan%2030%20%5Cdegree%20%3D%20%20%5Cfrac%7Bx%7D%7B%20%5Csqrt%7B6%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B%20%5Csqrt%7B6%7D%20%7D%20%20%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%5Cfrac%7B%20%5C%3A%20%20%5Csqrt%7B3%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B2%7D%20)