Question

Find the value of a and b


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Answer 1

Answer:

a=40°

b=55°

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Answer 2

Answer:

a = 40 degrees

b = 55 degrees

Step-by-step explanation:

In triangle CDE,

ang C + ang D + ang E = 180 (sun of all angles of a triangle)

ang C + 40 + 55 =180

ang C = 180 - 95

ang C = 85

now,

ang DCE = ang ACB = 85 degrees ( vertically opp angles)

also, DE || AB with DB as the transversal

ang EDB = ang DBA = a = 40 degrees (alternate interior angles)

again, from triangle ABC

ang A + ang B + ang C = 180

b + a + 85 = 180

b + 40 + 85 = 180

b = 180 - 125

b = 55 degrees