PSLE NPQR and QTVS are identical parallelograms. UQP and SRQ are identical right-angled triangles.
- Find ∠w.
- Find ∠x.
- Select the words that describe PUT in the statement:
PUT (is/is not) a straight line because the sum of angles PUQ and QUT (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠w
= 180° - 74°
= 106° (Interior angles)
(b)
∠SQT
= ∠PQR
= 106° (Parallelogram)
∠PQU
= 180° - 90° - 19°
= 71° (Angles sum of triangle)
∠x
= 360° - 106° - 106° - 19° - 71°
= 58° (Angles at a point)
(c)
∠QUT
= 180° - 32° - 58°
= 90°
Since ∠QUT is 90°, it adds up to 180° with ∠PUQ to form a straight line. So, PUT
is a straight line because the sum of angles PUQ and QUT
is 180°.
Answer(s): (a) 106°; (b) 71°; (c) is, is