Question

4. Perhatikan segi empat PQRS di samping.
Diketahui m∠ PQR = 125°, m∠ QRS= 78°
Tentukan m∠ SPQ dan m∠ RSP.

5. Perhatikan lingkaran O di samping.
Diketahui m∠ BAD = x + 20°, m∠ BCD = 3x
Tentukan m∠ BOD minor dan m∠ BOD mayor .

Answer 1

4.
<QRS + <SPQ = 180
78 + <SPQ = 180
<SPQ = 180 - 78
<SPQ = 102°

<PQR + <RSP = 180
125 + <RSP = 180
<RSP = 180 - 125
<RSP = 55°

5.
<BOD minor = 2 (x + 20) = 2x + 40
<BOD mayor = 2 (3x) = 6x

<BOD minor + <BOD = 360
2x + 40 + 6x = 360
2x + 6x = 360 - 40
8x = 320
x = 320/8
x = 40

<BOD minor = 2x + 40
= 2(40) + 40
= 120°

<BOD mayor = 6x
= 6(40)
= 240°