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°

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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