Answer:
a. 40°
b. 21°
Step-by-step explanation:
a. Reference angle = θ
Opposite = 5
Adjacent = 6
Apply TOA:
(nearest degree)
b. Reference angle = x
Opposite = 5
Hypotenuse = 14
Apply SOH:
(nearest degree)
Write the equation of the line in slope-intercept form using y=mx+b
1 answer:
You might be interested in
Answer: 66 degrees
Explanation:
Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.
Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees
Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.
So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x
x+24 = 90
x+24-24 = 90-24
x = 66
That is why angle CDE is 66 degrees
