PSLE QRST and SVXU are identical parallelograms. WSR and UTS are identical right-angled triangles.
- Find ∠y.
- Find ∠z.
- Select the words that describe RWV in the statement:
RWV (is/is not) a straight line because the sum of angles RWS and SWV (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠y
= 180° - 74°
= 106° (Interior angles)
(b)
∠USV
= ∠RST
= 106° (Parallelogram)
∠RSW
= 180° - 90° - 27°
= 63° (Angles sum of triangle)
∠z
= 360° - 106° - 106° - 27° - 63°
= 58° (Angles at a point)
(c)
∠SWV
= 180° - 32° - 58°
= 90°
Since ∠SWV is 90°, it adds up to 180° with ∠RWS to form a straight line. So, RWV
is a straight line because the sum of angles RWS and SWV
is 180°.
Answer(s): (a) 106°; (b) 63°; (c) is, is