Answer:
∠CAD = 44⁰
∠ACD = 44⁰
∠ACB = 136⁰
∠ABC = 22⁰
Explanation:
To calculate m∠CAD;
Line AD = Line DC,
thus ∠CAD = ∠ACD = ¹/₂(180 - 92°) [sum of angles in a triangle.]
∠CAD = ¹/₂ x 88 = 44⁰
Also, ∠ACD = 44⁰
To calculate m∠ACB;
∠ACB = 180 - ∠ACD [Sum of angles on a straight line]
∠ACB = 180 - 44
∠ACB = 136⁰
To calculate m∠ABC;
Line CB = Line CA
Thus, ∠ABC = ∠CAB = ¹/₂(180 - ∠ACB) [sum of angles in a triangle.]
∠ABC = ¹/₂(180 - 136)
∠ABC = ¹/₂ x 44
∠ABC = 22⁰