Answer:
x = 58 and y = 15
Step-by-step explanation:
(c)
The sum of the 3 angles in a triangle = 180°
In Δ ADE
∠ DAE = 180° - (50 + 72)° = 180° - 122° = 58°
∠ DAE and ∠ CAB are vertical and congruent, thus
x = 58
(d)
Δ ACD is equilateral thus all 3 angles = 60°
∠ CAB and ∠ CAD are adjacent and supplementary, thus
∠ CAB = 180° - 60° = 120°
Since CA = BA then Δ ABC is isosceles with base angles congruent, thus
2y + 2y = 60
4y = 60 ( divide both sides by 4 )
y = 15
