Answer:
Refer to the attached file
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Answer:
16. 142 deg
17. 23 deg
18. 134 deg
19. 38 deg
Step-by-step explanation:
16.
m(arc)QT = 2m<QST = 2 * 71 = 142
17.
m<STR = (1/2)m(arc)RS = (1/2)46 = 23
18.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RST = 180
m(arc)RS + m(arc)ST = m(arc)RST
46 + m(arc)ST = 180
m(arc)ST = 134
19.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RQT = 180
m(arc)RQ + m(arc)QT = m(arc)RQT
m(arc)RQ + 142 = 180
m(arc)RQ = 38
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary.
<em><1 +< 16 = 180</em>
<em>115+ < 16 = 180</em>
<em>< 16 = 180 - 15</em>
<em>< 16 = 65</em>
<em />
<em>So measurement of angle 16 = 65 degrees.</em>
<em></em>
The exact value of the cone is the answer corresponding with B