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NUMERICAL PROBLEMS

IN

PLANE GEOMETRY

BOOK I.

1. What is the complement of 43° ? of 75° 15'? of 81° 11' 11"? of 14° 18"? of [? of m° n'? of 82° 40′ — .4 R?

2. What is the supplement of 28° 31′ 18"? of 115° 39"? of 140° 1.84"? of 1.2 ? of? of co- to?

3. Find the supplement of the complement of 50°; of 85° 13′ 22′′; of x°; of t° 31° 18'.

4. Find the complement of the supplement of 169° 44′ 42"; of 155° 55′′; of g° — 15° ; of c° — 8° 5′′.

5. How many degrees in the difference between the supplement and the complement of an /?

6. How many degrees in each of the intersecting straight lines, when one of the 2° of being of of a ?

=

made by two

lacks only

7. In this figures, 2 = 4 + 12°; how many degrees in each?

8. Of two supplementary-adjacent, one lacks 7° of being ten times as large as the other; how many degrees in each ?

9. Two complementary are such that if 7° be added to one and 8° to the other they will be in the ratio of 3 to 4 ?

10. If an divided by its supplement gives a quotient of 5 and a remainder of 6°, how many degrees in the

?

11. How many degrees in each of the five about a point, if each, in a circuit from right to left is 5° greater than its adjacent

?

12. Three make up all the angular magnitude about a point. The difference between the first and second is 10°; the difference between the second and third is 100°; how many degrees in each?

13. When the formed by one straight line meeting another are in the ratio 7: 11 how many degrees in each ?

14. Find the whose complement and supplement are in the ratio 4: 13.

15. Find the the sum of whose supplement and complement is 15° less than four times its complement.

16. How many degrees in the whose supplement taken from three times its complement leaves 1° 18′ less than the difference between the / and 50° ?

17. If the bisector of one of two supplementary-adjacent makes an equal to one-sixth of the other, how many degrees in each of the

?

18. How many degrees in each of the five about a point if they are in the ratio 1:2:3;4:5 ?

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