Two angles of a triangle measure 120 and 40°. What is the measure of the third angle of the triangle?

20°

the measure of the third angle of the triangle is x ( 0 < x < 90)

because this is 3 angles in a triangle, we have:

120 + 40 + x = 180

⇔ x = 180 - 120 - 40

⇔ x = 20°

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).