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° - 73°
= 107° (Interior angles)
(b)
∠KHL
= ∠GHJ
= 107° (Parallelogram)
∠GHM
= 180° - 90° - 20°
= 70° (Angles sum of triangle)
∠q
= 360° - 107° - 107° - 20° - 70°
= 56° (Angles at a point)
(c)
∠HML
= 180° - 32° - 56°
= 92°
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) 107°; (b) 70°; (c) is not, is not