Question

What is the value of x?

Answer 1

x =
`29^(o)`

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°.