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vazorg [7]
3 years ago
7

For rhombus LMNO, m∠LON = 102° and NP = 5 units. Use the diagram of rhombus LMNO to find the missing measures. The measure of ∠L

PM is °. The measure of ∠PMN is °. The length of LN is units.
Mathematics
2 answers:
aivan3 [116]3 years ago
8 0
LPM = 90

PMN = 51

LN = 10
Phantasy [73]3 years ago
8 0

Answer: angle LPM = 90, angle PMN = 51, side LN = 10

Explanation: Since, In case of rhombus, Diagonals bisect each other with the angle of 90, and corresponding angles are equal.

Here, In rhombus LMNO

\angle LON=\angle PMN = 102° (because both are corresponding angles)

⇒ \angle PMN =\angle LMN/2=102°/2

⇒\angle LPM =51°

Now, \angle LPM=90°

and, LN=LP+PN=5+5=10 unit.



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