Answer:
A.3. x = 72° y = 90°
Step-by-step explanation:
The sum of the interior angles in a polygon is (n-2)*180, where n is the number of angles. In this diagram, we have:
Hexagon n=6): (6-2)*180° = 720°
Pentagon (n=5): (5-2)*180° = 540°
Triangle (n=3): (3-2)*180° = 180°
Square (n=4): (4-2)*180° = 360°
In this case, all are either regular or equilateral, so the angles will all be the same within each polygon.
Hexagon: (720°/6) = 120°
Pentagon: (540°/5) = 108°
Triangle = 60°
Square = 90°
Refer to the attached diagram for the calculations.
By adding up the angles we know that are adjacent to x and y, and setting the total to 360°, we can calculate the missing angles x and y.
x = 72°
y = 90°
I started the problem for B3, but am not certain how to find the angles for the isosceles triangles without more information.
