Answer:

Step-by-step explanation:
Given

Required
Find 
From the attachment:
The measure of
is calculated using the following expression:

Where
-- right-angled.
The expression becomes



Answer:
x=18
Step-by-step explanation:
Hey There!
So if you did not know all of the angles in a triangle will add up to equal 180
So we use the equation
180=2x+3x+5x
and solve for x
step 1 combine like terms
2x+3x=5x
5x+5x=10x
so now we have
180=10x
step 2 divide each side by 10
180/10=18
therefore x = 18
hope this helps and if you have any more questions feel free to ask :)
Answer:
The measure of angle N is 55°
Step-by-step explanation:
we know that
the law of cosines established
a² = b² + c² – 2*b*c*cos(A)
so
In this problem we have
a=ML=5.74 units
b=LN=4 units
c=MN=7 units
∠A=∠N=?
see the attached figure to better understand the problem
a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]
cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236
A=arc cos (0.57236)--------> A= 55°
therefore
The measure of angle N is 55°
Answer:
10 in
Step-by-step explanation: