Question

Exercitiul 14 , coronita !

Answer 1

a) x+30°+x=180°
2x+30°=180°
2x=150°
x=75°
→x+30°=75°+30°=105°
Masurile unghiurilor sunt 75° si 105°

b) x-42°+x=180°
2x=222°
x=111°
→111°-42°=69
Masurile unghiurilor sunt 111° si 69°

c) x+3x/5= 180°
(5x+3x)/5=180°
8x=900°
x=112°30′
→3*112°30°/5=67°30′

Masurile unghiurilor sunt de 112°30′ si 67°30′

d) x+24°+x=90°
2x+24°=90°
2x=66°
x=33°
→24°+x=24°+33°=57°
Masurile unghiurilor sunt de 33° si 57°

e) x+x-3°=90°
2x-3°=90°
2x=93°
x=46°30′
→x-3°=46°30′-3°=43°30′
Masurile unghiurilor sunt de 46°30′ si 43°30′

Answer 2

a) x+30+x=180
2x+30=180
2x=180-30
2x=150
x=75
x+30=75+30=105

b)x-42+x=180
2x-42=180
2x=222
x=111
x-42=111-42=69

c)x+3/5·x=180
5/5·x+3/5·x=180
8/5·x=180
x=180/1:8/5
x=180/1·5/8
x=900/8
x=112°30′
3/5·x=3/5·112,3/1=337,5/5=67°30′

d)90+x+24+x=180
2x+114=180
2x=66
x=33
x+24=33+24=57

e)x+x-3+90=180
2x+87=180
2x=180-87
2x=93
x=46°30′
x-3=46,3-3=43°30′