In the figure given, what is the value of x?

x = 30

Step-by-step explanation:

In the figure attached,

Two lines are parallel and one line having two adjacent angles (4x)° and (x + 30)° are the transverse.

Sum of interior consecutive angles = 180°

So the sum of these angles = 180°

(4x)° + (x + 30)° = 180°

(4x + x) + 30 = 180

5x + 30 = 180

5x = 180 - 30

5x = 150

x = 30

Therefore, value of x = 30

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

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).