Help with finding the lettered angles please!

i = 77.5°

k = 77.5°

j = 102.5°

h = 155°

Step-by-step explanation:

Since we have an isosceles triangle, we know that ∠i and ∠k are equal. So,

180 - 25 = 2x

155 = 2x

x = 77.5

So m∠i = m∠k = 77.5°

To find m∠j, we use Supplementary Angles:

180 - 77.5 = 102.5°

To find m∠h, we also use Supplementary Angles:

180 - 25 = 155°

do i do it on a graph?

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).