Question

6. In parallelogram ABCD, ZBCE = 65° and ZACD = 35°. DC is
extended to E. Find the magnitude of
a. ZABC
b. ZADCK
c. ZACB​

Answer 1

Answer:

(a) 65°

(b) 65°

(c) 80°

Step-by-step explanation:

(a) ∠ABC = ∠BCE = 65° (∵ ABIIDC alternate interior angles are equal)

(b) ∠ADC = ∠ABC = 65° (∵ opposite angles of parallelogram are equal)

(c) ∠ACB = 180-(35+65) = 180 - 100 = 80° (∵angles of a straight line add up to 180°)

Answer 2

Answer:

a.65

b.65

c.80

hope it helps you