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Compute the missing angles in the given figure.

The figure shows a triangle UpperWord LMN. The side LN is produced in both the directions and a point Upper P is labeled on the portion of line produced with Upper N. The side MN is produced in both the directions and a point Upper O is labeled on the portion of line produced with Upper N. The angle UpperWord PNM is labeled as 142 degree, the angle UpperWord MLN is labeled as 90 degree and the angle UpperWord NML is labeled as x.

​Missing Angle Measure (in degrees) ​
∠
M
32

​
∠
L
N
M

Compute the missing angles in the given figure The figure shows a triangle UpperWord LMN The side LN is produced in both the directions and a point Upper P is l class=

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Answer:

Part 1:

∠LNM = 38°

Part 2:

∠  M = x = 52°

Step-by-step explanation:

Part 1:

A straight line (straight angle) has a measure of 180°

From the figure, we can say:

PNM + LNM = 180

142 + LNM = 180

∠LNM = 180 - 142 = 38°

Part 2:

Now, for angle M, we recognize that sum of 3 angles of a triangle is 180°

Thus,

90 + 38 + x = 180

128 + x = 180

x = 180 - 128

x = 52°

Answer:

a,c,e

Step-by-step explanation:

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