ABCD is a parallelogram, Calculate the size of angle x.
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reasons for your answer

Step-by-step explanation:

let point that BD intersects extended A be Z

angle BDA = 180 - 56 - 78 = 46 deg (supplementary angle in //ogram)

angle AZD = 180 - 98 = 82 deg (angles on a straight line/supplementary angles on straight line)

therefore,

angle x = 180 - 82 - 46 = 52 deg (sum angles of triangle)

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).