For similar polygons, there exists a scale factor between side lengths. The scale factors of their areas will be the scale factor squared.
For example, a two similar rectangles with lengths 2 cm and 4 cm and widths 5 cm and 10 cm, The rectangles have a scale factor pf 2. The rectangles also will have areas 10 and 40. The scale factor of their areas is 4 or 2 squared.
The polygons here have a scale factor of and is simplified to 8/3. Their areas will be 8/3 squared or 64/9.
First, we work out the final angle of the left triangle, which has a total of 180°. To do this we take 40° and 66° from 180°, giving us <u>72°</u>
Because there is a straight line along the bottom (which will total 180°), we take both 72° and 56° from 180°, giving us <u>52°</u>, which is the bottom left angle of the right triangle.
Finally, to work out '?', we take 52° and 40° from 180° to get our final answer of <u>88°.</u>
