In triangle MNL and triangle NPL,we have,
MN=PN(given)
LM=LP(given)
LN=LN(common side)
=>triangle MNL is congruent to triangle PLN. (SSS criterion rule)
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9x-7 = -7
step 1 = add 7 to each side
9x = 0
step 2 divide both sides by 9
x = 0/9 = 0
Answer:
OAB = 75
OAB = 45
OMN = 60
Step-by-step explanation:
so there is a rule for corresponding angles are equal to one another
in this question the corresponding angles would be angle OMN and angle OAB
meaning that since OMN is 45 degrees, then OAB would also be 45 degrees
FOR ANGLE ONM
To find angle ONM, we know that the angle of a straight line is equal to 180 degrees.
If part of the straight line is 120 degrees, then the remaining would mean
180-120 = 60 degrees
thus ONM is 60 degrees
Earlier, we found that corresponding angles are equal and ONM and OBA are corresponding angles which means
OBA also equals 60 degrees.
To find angle OMN, the angles in a triangle add up to 180, since we know angles M and angle N, then
180 - 45 - 60 = 75 degrees
