Question

Aflati masurile unghiurilor unui patrulater convex ABCD stiind ca sunt d.p cu{1,2,3,4}

Answer 1

a,b,c,d-masurile unghiurilor

{a,b,c,d}    d.p. cu {1,2,3,4}

a/1 = b/2 = c/3 = d/4 = k

a = 1k ; b = 2k  ; c = 3k  ; d = 4k

1k + 2k + 3k + 4k = 360

10k = 360 ⇒ k = 36

a = 1 × 36 = 36° ; b = 2 × 36 = 72°

c = 3 × 36 = 108°  ; d = 4 × 36 = 144°

Answer 2

a, b, c, d  - masurile unghiurilor

a/1 = b/2 = c/3 = d/4 = > k

a = k

b = 2k

c = 3k

d = 4k

k + 2k + 3k + 4k = 360

10k = 360

k = 360 : 10

k = 36

a = 36°

b = 36 x 2 = 72°

c = 36 x 3 = 108°

d = 36 x 4 = 144°