Answer:
x = 75
Explanation:
The triangle on the right is an equilateral triangle. This means each angle is 60 degrees.
The bottom angle which goes over both triangles is marked as a right angle (90 degrees). Given that the part of that angle in the equilateral triangle is 60 degrees, the rest of the angle (i.e. the part of the angle in the other triangle) is 30 degrees.
It is implied by the markings that the angle x = the other angle at the top (although this should be clearer). Assuming this is the case, we can use the rule that angles in a triangle sum to 180 degrees, to say that:
x + x + 30 = 180
Combine like terms, rearrange and simplify:
2x + 30 = 180
2x = 150
x = 75