Page 155 - Math Smart - 7
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0 /C/.MN Is a rhombus. A/CNM = 68°. Find:
a) Ly, b) ^LMN.
Solution Interior angles between the
a) ^NKL + 68° = 180° parallel lines KL and NM.
^N/C/. = 180°-68° N
= 112°
/_y +112° = 180° Interior angles between the parallel lines KN and LM.
Ay =180°-112°
What do you notice
= 68°
about the opposite
b) ALMN + 68° = ^80^ Interior angles between the parallel lines/(N and/.M. angles in the rhombus?
./tMA/= 180°-68°
= 112° rr
105
0 PQ/J5 is a trapezium. aPQR- 105°. Find Az.
Solution ll
Interior angles between
105° + Zz=180° I, ,
the parallel lines PQand S/<.
Zz=180°-105° ^
= 75°
Check My
Understanding
0 ABCD is a square. Find the following angles,
a) AABC b) AO ON.
c) ADMC d) Ad
/m\
D
0 EFCH Is a rectangle. Find the following angles.
a) AFGH b) AEOH
c) Ax d) Ay
0 WXYZ is a parallelogram. AXYZ = 117°. Find » »■
a) AW, b) AmY.
