If l is parallel to m, which of the following angles are congruent to 8?

a.
angles 5, 6, and 7
b.
angles 2, 4, and 5
c.
angles 6 and 7
d.
angles 2, 4, and 6

D

Step-by-step explanation:

∠6 = ∠8 ← vertically opposite angles

∠4 = ∠8 ← corresponding angles

∠2 = ∠4 = ∠8 ← 4 and 2 are vertical angles

Thus 2, 4 and 6 are congruent to 8

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).