Question

In the figure DE = DF and ZEDF = 50 find the value of a , b and c ​

Answer 1

Answer:

a = 130°, b = 65°,c = 115°

Step by step explanation:

Given

DE = DF

Angle EDF = 50°

To find

Value of a,b and c.

a = 180° - 50° ( linear pair)

a = 130°

Now, Since DE = DF (means that the ∆ is an Isosceles ∆)

According to Isosceles triangle theorem, Angles opposite to the equal sides are also equal,So

b = angle DFE. ...(i)

Now,

50° + b + angle DFE =180° (Angle sum property)

50° + b + b = 180° (from i )

2b = 180° - 50°

2b = 130°

b = 65°

c = 180° - 65° = 115°