Question

Solve for x.

A.
6.2
B.
6.4
C.
6.6
D.
6.8

Answer 1

The correct answer option is B. 6.4.

Explanation:

We know that in a pair of triangles, if two pairs of corresponding angles are congruent, then the triangles are similar. And if the two angle pairs are similar then the third pair must also be equal.

So, the corresponding sides are also proportional and we can write them as:

`(8)/(10) = (x)/(8)`

Now solve for x by cross multiplication to get:

`x = (64)/(10)`

`x=6.4`

Answer 2

x = 6.4

Step by step explanation

The two triangles are similar. Therefore, they are in proportion.

8/10 =x/8

x = (8*8)/10

x = 64/10

x = 6.4

The value of x is 6.4

Thank you.