Answer:
the two angles of dark green triangle are 90 degrees, 72 degrees and 18 degrees.
Step-by-step explanation:
As dark green triangle is stacked on top of light green triangle and one side of dark green is sharing hypotenuse of light green, considering both have same area, mean same 1/2 base* height ,also one leg of both is same so its obvious that both heights and bases of triangles are same. Considering all the above facts both triangles are forming a square with common side as diagonal of square.
So, the angles of light green triangle are 90 , 18 and (180-90-18)=72 degrees
One angle of dark green is already 90 degrees , the other two combined with light green form 90 degrees (as both are side angles of square).
90-18=72
90-72=18
Hence the three angles of dark green triangle are 90,72 and 18.
