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° - 25°
= 65° (Angles sum of triangle)
∠x
= 360° - 106° - 106° - 25° - 65°
= 58° (Angles at a point)
(c)
∠QUT
= 180° - 30° - 58°
= 92°
Since ∠QUT is not 90°, it does not add up to 180° with ∠PUQ to form a straight line. So, PUT
is not a straight line because the sum of angles PUQ and QUT
is not 180°.
Answer(s): (a) 106°; (b) 65°; (c) is not, is not