Answer:
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Step-by-step explanation:
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Exercise 1:
The angle in the low left corner is supplementar with the external angle. Since the external angle is 105, the inner angle is 75.
Since in every triangle the inner angles sum to 180, we have

Exercise 2:
Again, you need to use the fact that in every triangle, the sum on the inner angles is always 180.
Exercise 3:
Since PQ and BC are parallel, triangles APQ e ABC are similar. This means that their side are in the same proportion, so

Plug the known values of AB, AP and AC and solve for AQ:

The formula for the surface area of a right cylinder is 2πrh + 2πr^2. r is the radius, and h is the height.
In this instance, the radius is 4, so plug that in for r. (I.E. Replace r with 4).
The formula is now 2π4h + 2π4^2.
Next, plug in the height, 8 for h.
Now we have 2π4(8) + 2π4^2, which is approximately 301.59.
The surface area is 301.59. (Unit of measure was not specified)
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Hey the probability of getting head all four time is 2/4