Identify the correct justification for each step, given that ∠1 and ∠2 are complementary, and ∠2 and ∠3 are complementary.
1. ∠1 and ∠2 are complementary
∠2 and ∠3 are complementary
2. m∠1 + m∠2 = 90°
3. m∠2 + m∠3 = 90°
4. m∠1 + m∠2 = m∠2 + m∠3
5. m∠1 = m∠3

Explanation:

In step 4, we make use of the property that things equal to the same thing are equal to each other.

In step 5, we make use of the fact that subtracting the same quantity (m∠2) from both sides of the equal sign doesn't change the values of any of the other parts of the equation.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,