If the angles are complementary, we have that:
- The measure of angle 1 is of 24º.
- The measure of angle 2 is of 66º.
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- If two angles are complementary, the <u>sum of their measures is 90º.</u>
- In this problem, we suppose that angles 1 and 2 are complementary, thus:

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- The measures of angle 1 and angle 2 are in a 4:11 ratio, thus:


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Considering 


The measure of angle 1 is of 24º.
The measure of angle 2 is of 66º.
A similar problem is given at brainly.com/question/24738896
<span><span>Given the equation of a circle"<span>x^2 + y^2 - 4x +6y -36 = 0</span>We will use completing the square method to rewrite the equation into the form:(x-a)^2 + (y-b)^2 = r^2 where (a,b) is the center and r is the radius.Let us rewrite the terms.==> x^2 - 4x + y^2 + 6y = 36Now we will complete the square for both x^2 ands y^2.We will add [( coefficient of x)/2]^2 and [(coefficients of y)/2]^2 to both sides.Then we will add :(4/2)^2 = 2^2 = 4(6/2)^2 = 3^2 = 9Then we will add 4 and 9 to both sides.==> x^2 - 4x +4 + y^2 + 6y + 9 = 36 + 4 + 9==> (x-2)^2 + (y+3)^2 = 49==> (x-2)^2 + (y+3)^2 = 7^2Now we will compare the equation withe the standard form of a circle.Then we conclude that:<span>The center of the circle is: ( 2, -3) and the radius is 7.</span></span></span>
So youre a given two points. The points (0,15) and (150,0). First
solve the slope of the graph
M = (y1 – y2) / (x1 – x2)
M= (15 – 0) / ( 0 – 150)
M = - 0.1
Using point (15,0)
15 = -0.1(0) + b
15 = b
So y = mx + b
Y = -0.1x + 15