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What is the answer to this question?

What is the answer to this question?-example-1
User JimDusseau
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1 Answer

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Answer:

A.3. x = 72° y = 90°

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.

What is the answer to this question?-example-1
User Moodh
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