We appreciate your visit to In KLM overline KM is extended through point M to point N Given m MKL 3x 19 m LMN 7x 5 m KLM 2x 8. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The value of x in triangle KLM is found to be 11 degrees by applying the exterior angle theorem.
Explanation:
To find the value of x in triangle KLM, where angle LMN is an exterior angle, we use the fact that the exterior angle theorem states that an exterior angle is equal to the sum of the two non-adjacent interior angles. Therefore:
m∠LMN = m∠MKL + m∠KLM
(7x + 5)° = (3x + 19)° + (2x + 8)°
Combine like terms:
7x + 5 = 3x + 19 + 2x + 8
7x + 5 = 5x + 27
Solve for x:
7x - 5x = 27 - 5
2x = 22
x = 11
Thus, the value of x is 11 degrees.
Thanks for taking the time to read In KLM overline KM is extended through point M to point N Given m MKL 3x 19 m LMN 7x 5 m KLM 2x 8. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
