PSLE MNPQ and PSUR are identical parallelograms. TPN and RQP are identical right-angled triangles.
- Find ∠v.
- Find ∠w.
- Select the words that describe NTS in the statement:
NTS (is/is not) a straight line because the sum of angles NTP and PTS (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠v
= 180° - 77°
= 103° (Interior angles)
(b)
∠RPS
= ∠NPQ
= 103° (Parallelogram)
∠NPT
= 180° - 90° - 19°
= 71° (Angles sum of triangle)
∠w
= 360° - 103° - 103° - 19° - 71°
= 64° (Angles at a point)
(c)
∠PTS
= 180° - 27° - 64°
= 89°
Since ∠PTS is not 90°, it does not add up to 180° with ∠NTP to form a straight line. So, NTS
is not a straight line because the sum of angles NTP and PTS
is not 180°.
Answer(s): (a) 103°; (b) 71°; (c) is not, is not