Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP StatementReason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°1. given 2. m∠H + m∠J + m∠K = 180°2. ? 3. 30° + 50° + m∠K = 180°3. substitution property 4. 80° + m∠K = 180°4. addition 5. m∠K = 100°5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N7. if angles are equal then they are congruent 8. △HKJ ~ △LNP8. AA similarity theorem Which reason is missing in step 2?

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement  1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

3) We can also say

Similarly to the other triangle:

4) Hence,

Reason: The sum of interior angles is equal to 180º.

step-by-step explanation:

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,