turkey-yks 2023 Q33

turkey-yks · Other · yks-ayt Not Maths
Işıl wants to glue three congruent isosceles triangles in blue, pink, and yellow colors onto a rectangular piece of paper. First, she glues the blue triangle as shown in the figure, making an angle of $48°$ with the bottom edge of the paper. Then she glues the pink triangle so that part of one side of the pink triangle coincides with part of one side of the blue triangle, and the yellow triangle so that part of one side of the yellow triangle coincides with part of one side of the pink triangle as shown in the figure.
In the final arrangement, one of the equal-length sides of the yellow triangle is parallel to the top edge of the paper. Accordingly, what is one of the equal angles of the yellow triangle in degrees?
A) 72 B) 76 C) 78 D) 80 E) 82
Işıl wants to glue three congruent isosceles triangles in blue, pink, and yellow colors onto a rectangular piece of paper. First, she glues the blue triangle as shown in the figure, making an angle of $48°$ with the bottom edge of the paper. Then she glues the pink triangle so that part of one side of the pink triangle coincides with part of one side of the blue triangle, and the yellow triangle so that part of one side of the yellow triangle coincides with part of one side of the pink triangle as shown in the figure.

In the final arrangement, one of the equal-length sides of the yellow triangle is parallel to the top edge of the paper. Accordingly, what is one of the equal angles of the yellow triangle in degrees?

A) 72
B) 76
C) 78
D) 80
E) 82