VWXY is a square. EDX and WDY are straight lines. WV = WE and ∠DWE = 13°. Find
- ∠WVE
- ∠YXE
.
(a)
∠VWY = 45° (Right angle)
∠VWE
= ∠VWY - ∠DWE
= 45° - 13°
= 32°
∠WVE
= (180° - ∠VWE) ÷ 2
= (180° - 32°) ÷ 2
= 148° ÷ 2
= 74° (Isosceles triangle)
(b)
WV = WE = WX
EWX is an isosceles triangle.
∠WEX = ∠WXE (Isosceles triangle)
∠WXE
= (180° - ∠YWX - ∠DWE) ÷ 2
= (180° - 45° -13°) ÷ 2
= 122° ÷ 2
= 61°
∠YXE
= ∠WXY - ∠WXE
= 90° - 61°
= 29°
Answer(s): (a) 74°; (b) 29°
