The intersection of roads M and N creates a 41.4 degree angle. What are the complimentary and supplementary angles of this inter
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Hi there!
8x + 4y = 15
x + y = 3
Use the second equation to solve for a particular variable since it is easier to isolate. We can begin by solving for y:
x + y = 3
Subtract y from both sides:
x = -y + 3
Substitute in this expression for x into the other equation:
8(-y + 3) + 4y = 15
Distribute and simplify:
-8y + 24 + 4y = 15
-4y + 24 = 15
-4y = -9
y = 9/4
Substitute in this value of y to solve for x:
8x + 4(9/4) = 15
8x + 9 = 15
8x = 6
x = 6/8 = 3/4
The values respectively are:
x = 3/4, y = 9/4
Given :
∠m1 = ( 7x - 19 )° .
∠m2 = ( x + 5 )° .
To Find :
The value of x .
Solution :
Since , relation between angle ∠m1 and ∠m2 is not given .
Let , us assume that sum of ∠m1 and ∠m2 is 180° .
So ,
Angle ∠m2 = (24.25 + 5 )° = 29.25° .
Therefore , ∠m2 = 29.25° .
Hence , this is the required solution .