Question

This mosaic consists of congruent triangles. The corresponding sides of the congruent triangles are indicated by the hash marks. What is the value of x?

a) 60°
b) 75°
c) 90°
d) 120°

Answer 1

The value of x in the mosaic of congruent triangles is 60°.

Step-by-step explanation:

To find the value of x, we can use the fact that corresponding sides of congruent triangles are congruent.

Looking at the mosaic, we can see that the corresponding sides of the congruent triangles are the sides with the hash marks.

Let's focus on one pair of congruent triangles.

The triangle on the left has two sides with hash marks, one measuring x and the other measuring 60°.

The triangle on the right also has two sides with hash marks, with one measuring 60°.

Since corresponding sides are congruent, we can set up an equation:

x = 60°

Therefore, the value of x is 60°, which is option a.