Penjelasan dengan langkah-langkah:
1. A. 10°
penyelesaian:
90° = 5a + 4a
90° = 9a
90°/9 = a
10° = a
2. C. 20°
180° = 3x + 80° + 2x
180° = 5x + 80°
180° - 80° = 5x
100° = 5x
100° / 5 = x
20° = x
3. D. 60°
180° = 4x + 2x
180° = 6x
180° / 6 = x
30° = x
- sudut QOR
= 2x
= 2(30)
= 60
4. B. 32°
∠SQR + ∠PQS = 90°
90° = (3x + 5)° + (6x+4)°
= 9x° + 9°
90° / 9 = 9x°
= 81°
∠SQR = (3x + 5)
∠SQR = 3 × 9 + 5
∠SQR = 32°
5. D. 70°
Penyelesaian:
∠ABC + ∠CBD = 180° (saling berpelurus)
∠ABC + 112° = 180°
∠ABC = 68°
∠BCA + ∠ABC + ∠BAC = 180°
∠BCA + 68° + 42° = 180°
∠BCA + 110 = 180°
∠BCA = 70°
1. Menentukan Nilai a =
5a + 4a = 90°
9a = 90°
a = 90° ÷ 9
a = 10° ( A )
-
2. Menentukan Nilai x =
3x + 80° + 2x = 180°
5x + 80° = 180°
5x = 180° - 80°
5x = 100°
x = 100° ÷ 5
x = 20° ( C )
3. Menentukan Nilai x =
4x + 2x = 180°
6x = 180°
x = 180° ÷ 6
x = 30°
Menentukan Besar <QOR =
= 2x°
= 2(30)°
= 60° ( D )
4. Menentukan Nilai x =
( 6x + 4 ) + ( 3x + 5 ) = 90°
6x + 4 + 3x + 5 = 90°
9x + 9 = 90°
9x = 90° - 9
9x = 81°
x = 81° ÷ 9
x = 9
Menentukan Besar <SQR =
= 3x + 5°
= 3(9) + 5°
= 27 + 5°
= 32° ( B )
5. Menentukan Besar <ABC =
<ABC + <CBD = 180°
<ABC + 112° = 180°
<ABC = 180° - 112°
<ABC = 68°
Menentukan Besar <BCA =
<ABC + <BAC + <BCA = 180°
68° + 42° + <BCA = 180°
110° + <BCA = 180°
<BCA = 180° - 110°
<BCA = 70° ( D )
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Penjelasan dengan langkah-langkah:
1. A. 10°
penyelesaian:
90° = 5a + 4a
90° = 9a
90°/9 = a
10° = a
2. C. 20°
penyelesaian:
180° = 3x + 80° + 2x
180° = 5x + 80°
180° - 80° = 5x
100° = 5x
100° / 5 = x
20° = x
3. D. 60°
penyelesaian:
180° = 4x + 2x
180° = 6x
180° / 6 = x
30° = x
- sudut QOR
= 2x
= 2(30)
= 60
4. B. 32°
penyelesaian:
∠SQR + ∠PQS = 90°
90° = (3x + 5)° + (6x+4)°
= 9x° + 9°
90° / 9 = 9x°
= 81°
∠SQR = (3x + 5)
∠SQR = 3 × 9 + 5
∠SQR = 32°
5. D. 70°
Penyelesaian:
∠ABC + ∠CBD = 180° (saling berpelurus)
∠ABC + 112° = 180°
∠ABC = 68°
∠BCA + ∠ABC + ∠BAC = 180°
∠BCA + 68° + 42° = 180°
∠BCA + 110 = 180°
∠BCA = 70°
✏JAWABAN:
1. Menentukan Nilai a =
5a + 4a = 90°
9a = 90°
a = 90° ÷ 9
a = 10° ( A )
-
2. Menentukan Nilai x =
3x + 80° + 2x = 180°
5x + 80° = 180°
5x = 180° - 80°
5x = 100°
x = 100° ÷ 5
x = 20° ( C )
-
3. Menentukan Nilai x =
4x + 2x = 180°
6x = 180°
x = 180° ÷ 6
x = 30°
-
Menentukan Besar <QOR =
= 2x°
= 2(30)°
= 60° ( D )
-
4. Menentukan Nilai x =
( 6x + 4 ) + ( 3x + 5 ) = 90°
6x + 4 + 3x + 5 = 90°
9x + 9 = 90°
9x = 90° - 9
9x = 81°
x = 81° ÷ 9
x = 9
-
Menentukan Besar <SQR =
= 3x + 5°
= 3(9) + 5°
= 27 + 5°
= 32° ( B )
-
5. Menentukan Besar <ABC =
<ABC + <CBD = 180°
<ABC + 112° = 180°
<ABC = 180° - 112°
<ABC = 68°
-
Menentukan Besar <BCA =
<ABC + <BAC + <BCA = 180°
68° + 42° + <BCA = 180°
110° + <BCA = 180°
<BCA = 180° - 110°
<BCA = 70° ( D )