Answer:
(i) 88°
(ii) 23°
Step-by-step explanation:
See the picture below.
The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.
ABCD is a rhombus, so all sides are congruent.
Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.
