Question

1. Complete this statment: A polygon with all sides the same length is said to be____

Answer 1

Answer:

Q1. Regular (A)

Q2. 105° (C)

Q3. x=45°

Step-by-step explanation:

Q1. A regular polygon is a polygon with all sides and angles equal.

Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore,  360°-255°=105°

Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.

Note: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).

Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.

Therefore the sum of interior angles is (5-2)180°=540°

solving the equation you have;

360°+4x=540°

4x=540°-360°

4x=180°

x=180°/4

x=45°

therefore x=45°