Answer:
56
Step-by-step explanation:
The thing to realize is that the total of both angles that have x in them is that they add to 145. That's given.
<LKM + <MKN = 145
2x + 10 + 4x - 3 = 145 Combine like terms
6x + 7 = 145 Subtract 7 from both sides
6x = 138 Divide by 6
x = 138/6
x = 23
That's not the answer.
2x + 10 = <LKM
2*23 + 10 = <LKM
46 + 10 = <LKM
56 = <LKM
First, find out what the greatest common factor is between 2, 4, and 5.
<span>This is 20. So any number divisible by 20 is also divisible by 2, 4, and 5. </span>
<span>Now we find the list of numbers that are multiples of 20 between 67 and 113. </span>
<span>The solutions are: </span>
<span>80 and 100.</span>
The appropriate algebraic equation is 2x = 3/4. To solve this for x, multiply both sides of this equation by (1/2), obtaining x = (1/2)(3/4) = 3/8 (answer)
X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
