[Class 7] Here is a triangle in which we know ∠B = ∠C and ∠A = 50° - Sum of angles of a triangle

part 2 - Question 3 - Figure it out - Page 165 - Sum of angles of a triangle - Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash) - Class 7 (Ganita Prakash 1, 2 & old NCERT)
part 3 - Question 3 - Figure it out - Page 165 - Sum of angles of a triangle - Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash) - Class 7 (Ganita Prakash 1, 2 & old NCERT)

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Question 3 - Figure it out - Page 165 Here is a triangle in which we know ∠B = ∠C and ∠A = 50°. Can you find ∠B and ∠C? Let ∠ B = ∠ C = x° Now, by alternate interior angles ∠XAB = x° ∠YAC = x° Since XY is a line Applying Linear Pair ∠ XAB + ∠ A + ∠ YAC = 180° x° + 50° + x° = 180° 50 + 2x = 180° 2x = 180 – 50 2x = 130 x = (130° )/2 x = 65° Thus, ∠ B = ∠ C = 65° Thus, ∠ B = ∠ C = 65°

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