Question

16.AABC is an isosceles triangle with AC = BC. Find angle ECD (Show working) ​

Answer 1

Step-by-step explanation:

sum of angle in triangle is 180°.

Answer 2

Answer:

56°

Step-by-step explanation:

AC=BC (given)

so, angle BAC= angle ABC ( angles opposite to equal sides are equal in measure)

now, angle ABC+ angle CBF=180 (angles on straight line)

so, angle ABC=180°-angleCBF=62°

so, angle BAC is also 62°

angle ABC+angle BAC+angleACB=180°(angles sum property of triangle)

angleACB= 180°-angleCAB-angleABC

angleACB=56°

angleACB=angleECD=56° (vertically opposite angle)

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