PSLE JKLM and LPRN are identical parallelograms. QLK and NML are identical right-angled triangles.
- Find ∠s.
- Find ∠t.
- Select the words that describe KQP in the statement:
KQP (is/is not) a straight line because the sum of angles KQL and LQP (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠s
= 180° - 77°
= 103° (Interior angles)
(b)
∠NLP
= ∠KLM
= 103° (Parallelogram)
∠KLQ
= 180° - 90° - 25°
= 65° (Angles sum of triangle)
∠t
= 360° - 103° - 103° - 25° - 65°
= 64° (Angles at a point)
(c)
∠LQP
= 180° - 24° - 64°
= 92°
Since ∠LQP is not 90°, it does not add up to 180° with ∠KQL to form a straight line. So, KQP
is not a straight line because the sum of angles KQL and LQP
is not 180°.
Answer(s): (a) 103°; (b) 65°; (c) is not, is not