Find m∠CXY
Please help with this, this is for my test review!!!

137°

Step-by-step explanation:

All angles in a triangle add up to 180° always.

Now imagine the two smaller shapes as a bigger triangle, CED.  The measure of angle CED is 89°, and CDE is 48°.  Do the math, and angle DCE is 43°.

But notice how the corresponding sides of the two smaller shapes are congruent.  (CX=XE, and DY=YE)  Meaning, the measure of angle C is equal to the measure of angle YXE.

We're almost there.  CXY (what we're looking for) and YXE are supplementary angles, meaning the angle measures add up to 180.  180-43 = 137°.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

3

step-by-step explanation: