Question

Plz give correct answer in step by step explanation plz ....I will mark BRAINLIEST.....

Answer 1

Answer:

67

Step-by-step explanation:

∠ABE = 180 - 36 - 31

          =113

BE is Parallel to CF so

∠ACF = ∠ABE

          =113

∠DCF = 180 - 113

          = 67

Answer 2

Answer:

∠DCF = 67°

Step-by-step explanation:

We know that ,

Sum of all angles in a triangle = 180°

So,

In ΔABE ,

∠EAB + ∠ABE + ∠BEA = 180°

=> 36° + ∠ABE + 31° = 180°

=> ∠ABE + 67° = 180°

=> ∠ABE = 113°

So, on line AD,

∠ABE + ∠EBC = 180°

=> 113° + ∠EBC = 180°

=> ∠EBC = 180°-113°

=> ∠EBC = 67°

But,

∠DCF = ∠EBC = 67° (Corresponding angles between two parallel lines)

Hence,

∠DCF = 67°

HOPE IT HELPS,

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