Question

What is the measure of angle y? 20

Answer 1

Answer:

38°

Step-by-step explanation:

90°=52°+y<=>y=38°

Answer 2

Step-by-step explanation:

as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).

and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.

these are called complementary angles.

so, in the top right quarter we have a 52° angle, and the other one must be

90 - 52 = 38°

as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,

y = 38°