Ex 6.3, 2 (ii) Find the values of the unknowns x and y in the following diagrams:In ∆ABC,
∠B = 50°
∠PAQ = 80°
∠C = x
∠BAC = y
Here,
∠BAC = ∠PAQ
y = 80°
Now,
In ∆ABD,
By angle sum property,
∠BAC + ∠C + ∠B = 180°
y + x + 50° = 180°
180° + x + 50° = 180°
x + 130° = 180°
x = 180° − 130°
x = 50°
Thus,
x = 50°, y = 80°

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.