Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Triangles H K J and L N P are shown. Trian
gle L N P is smaller and to the right of triangle H K J. Statement Reason 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∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2? CPCTC
1 answer:
Answer:
Triangle Sum Theorem
Step-by-step explanation:
Statement
2. m∠H + m∠J + m∠K = 180°
Reason
Triangle Sum Theorem
Comments
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In any given triangle the sum of its interior angles must be equal to 180º.
This has to do with lines and parallelism, and if you trace a Triangle and to parallel lines one of them being the base of it, this can be proven too.
Check it out below.
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