Quadrilateral abcd is inscribed in the circle. what is the measure of angle a

Check the picture below.

A =  137°

Step-by-step explanation:

We are given a figure of a quadrilateral ABCD which is inscribed in a circle and we are to find the measure of angle A.

We know that the opposite angles of the quadrilateral are supplementary which means that they add up to 180 degrees.

Here the opposite angle of A is C which is 43 degrees.

So, A + 43° = 180°

A = 180° - 43°

A =  137°

360/29

step-by-step explanation:

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).