Question

In the figure below, the two adjacent polygons are regular. What is the measure of ∠ABC?

Answer 1

Answer:

= 150°

Step-by-step explanation:

Since the polygons are regular, certain mathematical assumptions would help us here.

A square is a quadrilateral with all it's 4 sides equal and all it's angles equal.

Sum of angles of a regular quadrilateral = 360.

Therefore, a single angle = 360/4

= 90°.

The Triangle is adjacent to the side of the square. We will thus assume it's an Equilateral triangle.

For an equilateral triangle, all it's 3 angles = 180.

A single angle = 180/3

= 60°.

With this,

Angle ABC = 90° + 60=

= 150°