The figure shows a square GHLM and a rectangle HJKL. ∠JML = 37°.
- Find ∠HPM.
- Find ∠GNJ.
(a)
∠HPM
= 37° + 90°
= 127° (Exterior angle of a triangle)
(b)
∠GLM = 45°
∠LNM
= 180° - 37° - 45°
= 98° (Angles sum of triangle)
∠GNJ
= ∠LNM
= 98° (Vertically opposite angles)
Answer(s): (a) 127°; (b) 98°