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Answer: The size of angle 1 is 56.5°
Step-by-step explanation: Please refer to the diagram attached.
The question gives us two parallel lines x and y as shown in the attachment. Then both parallel lines are cut by a transversal line w.
The transversal eventually results in four angle being formed at each point of intersection, both in line x and in line y. In line x, the angles formed are given as angles, 2, 4, 3 and 1. In line y, the angles formed are 6, 8, 7 and 5.
It is important to note that with the inclusion of the transversal line w, there is a relationship between the angles. looking at line y, we have one of the angles measuring 123.5 degrees (angle 6). That means angle 8 is derived as follows;
Angle 8 + Angle 6 = 180 (Angles on a straight line equals 180)
Angle 8 + 123.5 = 180
Subtract 123.5 from both sides of the equation
Angle 8 = 56.5 degrees
Note also that angle 5 is opposite angle 8 and opposite angles are equal. Therefore angle 5 equals 56.5 degrees as well.
Looking at line x, angle 1 is alternate to angle 8 (alternate interior angles are equal), therefore angle 1 equals 56.5 degrees also.
The diagram and the accompanying explanation shows that angle 1 measures 56.5°
Answer:
-385
Step-by-step explanation:
Perhaps you want the sum of 10 terms of the arithmetic sequence ...
-16, -21, -26, ..., -61
The sum of any arithmetic sequence is the average term multiplied by the number of terms. The average term is the average of the first and last terms. Here, that is ...
((-16-61)/2)(10) = -385
