ramieniu,
AB | CD
3. Znajdź miarę kąta a.
a)
e) ABCD
80°
D
a
2a
76°
(3 a
& +10°
α
α
1159
B
A
b)
2a +10°
d)
a
Q-309
100%
40°
135
830
α
α
2a



Ramieniu AB CD 3 Znajdź Miarę Kąta A A E ABCD 80 D A 2a 76 3 A Amp 10 Α Α 1159 B A B 2a 10 D A Q309 100 40 135 830 Α Α 2a class=

Odpowiedź :

Odpowiedź:

A.

[tex] {76}^{o} + 3 \alpha + \alpha = {180}^{o} [/tex]

[tex]4 \alpha = {180}^{o} - {76}^{o} [/tex]

[tex]4 \alpha = {104}^{o} [/tex]

[tex] \alpha = {26}^{o} [/tex]

B.

[tex] \alpha + {83}^{o} + 2 \alpha + {10}^{o} = {180}^{o} [/tex]

[tex]3 \alpha = {180}^{o} - {93}^{o} [/tex]

[tex]3 \alpha = {87}^{o} [/tex]

[tex] \alpha = {29}^{o} [/tex]

C.

[tex]{80}^{o} + 2 \alpha + \alpha + {10}^{o} + \alpha = {360}^{o} [/tex]

[tex]4 \alpha = {180}^{o} - {90}^{o} [/tex]

[tex]4 \alpha = {270}^{o} [/tex]

[tex] \alpha = {67.5}^{o} [/tex]

D.

[tex] \alpha + \alpha - {30}^{o} + {135}^{o} + \alpha = {360}^{o} [/tex]

[tex]3 \alpha = {360}^{o} - {105}^{o} [/tex]

[tex] \alpha = {255}^{o} \div 3 = {85}^{o} [/tex]

E.

[tex] \alpha + {115}^{o} = {180}^{o} [/tex]

[tex] \alpha = {180}^{o} - {115}^{o} = {65}^{o} [/tex]

F.

[tex] {100}^{o} + {40}^{o} + \alpha = {180}^{o} [/tex]

[tex] \alpha = {180}^{o} - {140}^{o} = {40}^{o} [/tex]