Question

Determine the value of z in the image below.
z=

Answer 1

z=17

Explanation:

The triangles are congruent. This means that w equals 24, and w-7 equals z. With that, it means that z equals 24-7, which equals 17. Therefore, the answer is 17.

Answer 2

z = 17

Explanation:

The given triangle are congruent by A.S.A axiom.

Since the corresponding sides and angles are equal or congruent.

So,

w = 24

and

w - 7 = z

Substitute the value of w.

24 - 7 = z

17 = z

Therefore, the value of z is 17.