Penjelasan dengan langkah-langkah:
3. sudut prs = 3x°
sudut qrs = (5x + 20°)
nilai x
<prs + <qrs = 180°
3x + 5x + 20 = 180°
8x = 180 - 20
8x = 160°
x = 20°
sudut prs
= 3x
= 3(20°)
= 60°
sudut qrs
= 5x + 20
= 5(20) + 20
= 100 + 20
= 120°
4. sudut poq = 2x°
sudut qor = 3x°
sudut ros = 85°
a. nilai x
<poq + <qor + <ros = 180°
2x + 3x + 85 = 180°
5x = 180 - 85
5x = 95
x = 19°
b. besar poq
= 2x
= 2(19)
= 38°
c. besar qor
= 3(19)
= 57°
d. besar rop
= 2x + 3x
= 5x
= 5(19)
= 95°
sudut
soal 1
∠PRS + ∠QRS = 180°
3x + 5x + 20° = 180°
∠PRS = 3x = 3 × 20° = 60°
∠QRS = 5x + 20° = 5 × 20° + 20° = 120°
•
soal 2
∠POQ + ∠QOR + ∠ROS = 180°
2x + 3x + 85° = 180°
5x = 180° - 85°
x = 95°/5
koreksi
bukan ∠RPQ tapi ∠ROQ
∠ROQ = 3x = 3 × 19° = 57°
∠POQ = 2x = 2 × 19° = 38°
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Penjelasan dengan langkah-langkah:
3. sudut prs = 3x°
sudut qrs = (5x + 20°)
nilai x
<prs + <qrs = 180°
3x + 5x + 20 = 180°
8x = 180 - 20
8x = 160°
x = 20°
sudut prs
= 3x
= 3(20°)
= 60°
sudut qrs
= 5x + 20
= 5(20) + 20
= 100 + 20
= 120°
4. sudut poq = 2x°
sudut qor = 3x°
sudut ros = 85°
a. nilai x
<poq + <qor + <ros = 180°
2x + 3x + 85 = 180°
5x = 180 - 85
5x = 95
x = 19°
b. besar poq
= 2x
= 2(19)
= 38°
c. besar qor
= 3x
= 3(19)
= 57°
d. besar rop
= 2x + 3x
= 5x
= 5(19)
= 95°
Verified answer
sudut
soal 1
∠PRS + ∠QRS = 180°
3x + 5x + 20° = 180°
8x = 160°
x = 20°
∠PRS = 3x = 3 × 20° = 60°
∠QRS = 5x + 20° = 5 × 20° + 20° = 120°
•
soal 2
∠POQ + ∠QOR + ∠ROS = 180°
2x + 3x + 85° = 180°
5x = 180° - 85°
x = 95°/5
x = 19°
koreksi
bukan ∠RPQ tapi ∠ROQ
∠ROQ = 3x = 3 × 19° = 57°
∠POQ = 2x = 2 × 19° = 38°