Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.
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Answer: 2160°
Step-by-step explanation:
The sum of angles in a polygon is represented by the formula:
Sum = (n - 2) x 180° where n is the number of sides in the polygon
In this case, the complex polygon has 14 sides (n = 14)
So, (14 - 2) x 180°
= 12 x 180°
= 2160°
Thus, the sum of interior angles of a convex 14-gon is 2160°
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Given:

To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator

Step 2: Simplify the denominator

Step 3: Using step 1 and step 2

Step 4: Using fraction rule:


Cancel the common factor r and t², we get

Cancel the common factors 16 and 3 on both numerator and denominator.



The simplified fraction is
.