PSLE GHJK and JMPL are identical parallelograms. NJH and LKJ are identical right-angled triangles.
- Find ∠q.
- Find ∠r.
- Select the words that describe HNM in the statement:
HNM (is/is not) a straight line because the sum of angles HNJ and JNM (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠q
= 180° - 75°
= 105° (Interior angles)
(b)
∠LJM
= ∠HJK
= 105° (Parallelogram)
∠HJN
= 180° - 90° - 26°
= 64° (Angles sum of triangle)
∠r
= 360° - 105° - 105° - 26° - 64°
= 60° (Angles at a point)
(c)
∠JNM
= 180° - 30° - 60°
= 90°
Since ∠JNM is 90°, it adds up to 180° with ∠HNJ to form a straight line. So, HNM
is a straight line because the sum of angles HNJ and JNM
is 180°.
Answer(s): (a) 105°; (b) 64°; (c) is, is