Answer:
x = [tex]29^{o}[/tex]
Step-by-step explanation:
Looking at the right triangle we see two congruent sides, which means that we can find the angles:
180 - 64 = 116° for both bottom angles of the right triangle, so 58° (116°/2).
Looking at the middle angle we know that left corner from the left triangle is 58° so the angle in the middle would be 180 - 58 = 122°.
Since the right triangle equals to 180° then we can find the missing values including x:
180 - 122 = 58° is the total angle for each corner of the right triangle. So x would be 58/ 2 = 29°.
Therefore x = 29°.
