Page 72 - Steady Mate Tg1 - Book A

Matematik Tingkatan 1 Bab 9 Poligon Asas

J Hitung nilai x dan y dalam setiap rajah yang berikut. TP 4 ARAS S
Calculate the values of x and y in each of the following diagrams.

Contoh 1. Diberi BCD ialah garis A B
lurus.
Diberi GDE ialah garis A G y F It is given that BCD is a x 17°
lurus. 25° straight line.
It is given that GDE is a 145°
straight line. D x E
50° 86° C
B C y
Sudut peluaran adalah sama dengan hasil /EAC = 180° – 86°
x = 90° + 25° tambah dua sudut pedalaman bertentangan. 2
An exterior angle is the sum of two opposite = 47° 35° D
= 115°
interior angles. E
x = 47° – 17°
/FGD = /FDG Hasil tambah sudut pada = 30°
garis lurus ialah 180°.
= 180° – 145° Sudut selang-seli
Sum of angles on a straight
= 35° line is 180°. /ADB = 30° Alternate angles
y + 86° + 17° + 30° = 180°
/AGC + 90° + 90° + 50° = 360° Hasil tambah semua
sudut pedalaman sisi y + 133° = 180°
/AGC + 230° = 360°
empat ialah 360°. y = 180° – 133°
/AGC = 360° – 230° Sum of all interior
= 130° angles of a y = 47°
quadrilateral is 360°. atau / or
y = /AEC Sudut selang-seli
y = 360° – 35° – 25° – 130°
= 47° Alternate angles
= 170° Sudut putaran lengkap ialah 360°.
Angle of one whole turn is 360°.

2. Diberi ABC, AJH, C 3. Diberi ABC, GFD A B C
B
BFG dan JFE ialah y dan EFB ialah garis x 135°
x D
garis lurus. A x 46° lurus.
It is given that ABC, It is given that ABC,
AJH, BFG and JFE GFD and EFB are 80° D
are straight lines. straight lines. G F y
J 92° E
/BFJ = 180° – 92° 56° F E
= 88° H x + 80° = 180° Hasil tambah dua sudut
/AJF = 180° – 56° G x = 180° – 80° pedalaman antara dua garis selari
ialah 180°.
= 124° x = 100° Sum of two interior angles
between two parallel lines is 180°.
x + x + 88° + 124° = 360°
2x + 212° = 360° /BFD = 135° /BFD dan /BCD ialah sudut
2x = 360° – 212° bertentangan dalam segi empat selari.
2x = 148° /BFD and /BCD are opposite angles in a
parallelogram.
x = 74°
Sudut selang-seli /EFD = 180° – 135°
/DBE = /DEB = 46° Alternate angles = 45°

y = 180° – 46° – 46° – 74° y = 180° – 45° – 45°
= 14° = 90°

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