I will give you all my points and mark you the brainliest! Please help

Answer and Step-by-step explanation:

Since this is a quadrilateral, we know that all the angles will add up to 360 degrees (by definition). We are given that angle A is 90 degrees and that the ratio of A to B is 5 to 3. This means that we can set up a proportion and solve for B:

A/B = 5/3  ⇒  90/B = 5/3  ⇒  5B = 270  ⇒  B = 54

So, we know that angle B is 54 degrees.

Now that we know angle B is 54 and A is 90, we can find the sum of the remaining two angles X and Y because A + B + X + Y = 360:

90 + 54 + X + Y = 360

X + Y = 216 degrees

We also know that the ratio of X to Y is 1 to 3, so we can set up another proportion:

X/Y = 1/3  ⇒  Y = 3X

Substitute 3X in for Y in X + Y  = 216:

X + 3X = 216

4X = 216

X = 54

Thus, we see that both angles B and X equal 54, so B = X.

Hope this helps!

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.