Topic: Explain all the steps taken to solve the problem below. The measure of the interior angles of the polygon ABCDE are shown below. Determine the measure of angle E.​

9514 1404 393

  ∠E = 156°

Step-by-step explanation:

The sum of angle measures in a pentagon is 540°, so we have ...

  95 +(7x -4) +90 +(9x -6) +(3x +23) = 540

  19x +198 = 540

  19x = 342 . . . . . . . subtract 198

  x = 18 . . . . . . . . . . .divide by 19

Then the measure of angle E is ...

  ∠E = (9x -6)° = (9·18 -6)°

  ∠E = 156°

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).

a

step-by-step explanation: