EmmaandDaisy
EmmaandDaisy EmmaandDaisy
  • 23-08-2019
  • Mathematics
contestada

In the diagram at the
right, m LMN = 116,
M JKM = 122, and
M JNM = 103. What is
m NKM?

In the diagram at the right m LMN 116 M JKM 122 and M JNM 103 What is m NKM class=

Respuesta :

Cricetus
Cricetus Cricetus
  • 02-09-2019

Answer:

77 Degrees

Step-by-step explanation:

Let ∠LMK=x

Hence ∠NMK=x (Given)

Also given that ∠ NML=116

And

∠ NML=∠ LMK+∠ NMK

Hence

x+x=116

2x=116

x=58

Let ∠ MNK=y

Given ∠JNK=∠ NMK=x

Also ∠ JNM=103

x+y=103

58+y=103

y=45

Now we have ∠ JKM=122

y+∠ NKM=122

Hence

45+∠ NKM=122

∠ NKM=122-45

∠ NKM=77

Hence ∠ NKM=77

Answer Link

Otras preguntas

A steel block has a volume of 0.08 m³ and a density of 7,840 kg/m³. What is the force of gravity acting on the block (the weight) in water?
what is the expanded form of 845,450?
Why doesn't a cube root have two answers
Which statement represents one of the beliefs of Judaism? a. Abraham is the father of the faith. b. Jesus is held to be the Son of God. c. The Qur'an is the mai
A car traveling on a straight road at 10 meters per second accelerates uniformly to a speed of 21 meters per second in 12 seconds. the total distance traveled b
What impact did the Great Awakening have on American Indians in eighteenth-century American colonies?
Admiration of various qualities such as honesty, comfort, respect, teamwork, spirituality, and status can influence career choices. These qualities are examples
what is 29/12 as a mixed number
How do you solve 2x-31= -9x+24 ?
A corporation needs an operating system that allows the various teams in its office to network and collaborate on projects. Which operating system should the co