In the figure, angle I measures 56° and angle A measures 38° The measurement of angle B is The measurement of angle C is The measurement of angle F is

To find the measure angles B, C and F, you will need to know that the sum of all the angles in a triangle total 180 degrees and the sum of all the angles in a quadrilateral equal 360 degrees.

1.  Start with what you know:  angles I, E, and H needs to equal 180 (it is a straight line).  180 - 56 - 90 = 34 degrees.

H = 34 degrees

2.  Angles H, G, and A must equal 180, so 180-34-38 = 108 degrees

G = 108 degrees.

3.  Angles G and F must equal 180 degrees (straight line), so 180-108 = 72

F = 72 degrees

4.  Angles E, D, F, and C must equal 360, so 360-180-72 = 108

C = 108 degrees

5.  Angles J and D must add up to 180 (straight line); so 180-90=90

J = 90 degrees

6.  Angles B, I, and J must add up to 180, so 180-56-90=34

B = 34 degrees

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope