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The little square box in the corner between the vertical line and the horizontal one is a symbol indicating that angle is a right angle. It has a measure of 90°. The angles designated 1 and 2 together add up to that 90°. When angles sum to the value 90°, they are called "complementary" angles.

Since angles 1 and 2 also share a side and a vertex, they are also "adjacent" angles.

The appropriate choices are ...

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The same lines define the sides of angles 1 and 2, and they share a vertex. However, they are not adjacent. They are ...

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The angles marked 157° and x° together add up to make a line, so they are supplementary (their total is 180°). They also share a vertex and a side, so they are adjacent. The appropriate choices are ...

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When two angles total 180°, they are supplementary, whether they have any common parts or not. Since 98° + 82° = 180°, ...

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).