The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
<h3>
What is a polygon?</h3>
A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The sum of the exterior angles of a regular polygon will always equal 360
Given that;
- Exterior angle a = 25 degrees
- Exterior angle b = 146 degrees
- Exterior angle d = 149 degrees
25° + 146° + 149° + c = 360°
320° + c = 360°
c = 360° - 320°
c = 40°
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
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Patty because she has the lowest time out of them all. From least to greatest Patty would be the least with her time being shorter than the rest
Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.
I believe that A and D would be the correct answer. Because both are 30,60,90 triangles and would be congruent. The other 2 triangles only have 1 angle and their side measures are at two different places meaning they cannot be congruent.
Answer:
Step-by-step explanation:
Join OB.
∠A=∠A (common)
∴ ΔAPO and ΔAOB are similar.
∠P=∠O
∠Q=∠B
So PQ║OB
Similarly RS║OB
∴PQ║RS
