PSLE PQRS and RUWT are identical parallelograms. VRQ and TSR are identical right-angled triangles.
- Find ∠x.
- Find ∠y.
- Select the words that describe QVU in the statement:
QVU (is/is not) a straight line because the sum of angles QVR and RVU (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠x
= 180° - 78°
= 102° (Interior angles)
(b)
∠TRU
= ∠QRS
= 102° (Parallelogram)
∠QRV
= 180° - 90° - 19°
= 71° (Angles sum of triangle)
∠y
= 360° - 102° - 102° - 19° - 71°
= 66° (Angles at a point)
(c)
∠RVU
= 180° - 27° - 66°
= 87°
Since ∠RVU is not 90°, it does not add up to 180° with ∠QVR to form a straight line. So, QVU
is not a straight line because the sum of angles QVR and RVU
is not 180°.
Answer(s): (a) 102°; (b) 71°; (c) is not, is not