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Sagot :
Answer:
- JR = 29
- ∠JLM = 25°
Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
- x + 7 = 1/2(3x - 5)
- 2x + 14 = 3x - 5
- 3x - 2x = 14 + 5
- x = 19
Find JR
- JR = 1/2JL
- JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29
B)
- ∠LJM ≅ ∠JLK as alternate interior angles
- ∠JKL ≅ ∠JML as opposite angles of parallelogram
Interior angles of the triangle sum to 180°:
- m∠JLK + m∠LJK + m∠JKL = 180°
- m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°
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