Answer:
1. 75
2. 105
3. 35
4. 55
5. <5
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1. Sometimes
2. Always
3. Always
4. Never True
5. Sometimes
Step-by-step explanation:
1. because <2 is vertical angles with <1 therefore they are equal, so it is 75.
2. so the total of <1 and <2 is 150, and since they were both vertical angles means that <3 and its opposite angle are also vertical angles, together with <1 and <2 it forms a perfect 360 degree angle, so 360 - 150 = 210 divided by 2 = 105.
3. In a triangle the sum of the interior angles is always 180, therefore being given 40 degrees and 105 degrees, just add 40 + 105 = 155 then 180 - 155 = 35.
4. <5 is equivalent to <7, so <7 is 35. <7 and <8 are adjacent angles with the right angle shown in the figure. right angles are always 90 degrees, so far we've gotten 35 and 90, now we need to add 90 + 35 = 125 and then 180 - 125 = 55.
5. supplementary angles are connected angles that form a perfect 180 degrees, therefore <8 is supplementary to <5
_____________________________
1. coplanar means a point and a line is in a same plane, not every time that's the case.
2. congruent angles are angles with same degrees, while vertical angles are angles opposite to each other, vertical angles and congruent angles are always equivalent with their pair.
3.linear pairs are adjacent angles that are formed when two lines intersect, and if it's congruent then the only measure of both the pairs is 90 degrees, which is also called right angles, this is why its always true.
4. the sum of a linear pair is always 180 because it is supplementary, therefore this is never true.
5.sometimes because vertical angles can sometimes measure to 45 degrees forming together 90 degrees and that's called complementary.
