Compute the missing angles in the given figure.
2 answers:
Answer:
x=52°
Step-by-step explanation:
∠LNP+142°=180°
∠LNP=180°-142°
= 38°
∠LMN=x
x+90°+38°=180°
x+128°=180°
x=180°-128°
=52°
Answer:
x = 52°
Step-by-step explanation:
In the given figure,
142° is an exterior angle of triangle LMN
∠L = 90°
∠M = x
Exterior angle theorem: Sum of two opposite interior angle of a triangle is equal to exterior angle of triangle.
Therefore,
∠LMN + ∠MLN = ∠MNP
x + 90° = 142°
x = 142° - 90°
x = 52°
Hence, The missing angle is 52°
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