PSLE FGHJ and HLNK are identical parallelograms. MHG and KJH are identical right-angled triangles.
- Find ∠p.
- Find ∠q.
- Select the words that describe GML in the statement:
GML (is/is not) a straight line because the sum of angles GMH and HML (is/is not) 180° Give your answers in this format. (Eg is, is not)
(a)
∠p
= 180° - 78°
= 102° (Interior angles)
(b)
∠KHL
= ∠GHJ
= 102° (Parallelogram)
∠GHM
= 180° - 90° - 22°
= 68° (Angles sum of triangle)
∠q
= 360° - 102° - 102° - 22° - 68°
= 66° (Angles at a point)
(c)
∠HML
= 180° - 25° - 66°
= 89°
Since ∠HML is not 90°, it does not add up to 180° with ∠GMH to form a straight line. So, GML
is not a straight line because the sum of angles GMH and HML
is not 180°.
Answer(s): (a) 102°; (b) 68°; (c) is not, is not