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Sagot :

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.

View image rspill6
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