1.

In the adjacent triangle ABC, find the value of x and calculate the measure of all the angles of the triangle.

Answer»

∠A + ∠B + ∠C = 180° 

[Sum of the angles of a triangle 180° ] 

x + 15° + x – 15° + x + 30° = 180° 

3x + 30° = 180° 

3x = 180° – 30° 

3x = 150° x = \(\frac{150^o}{3}\)= 50° 

∠A = x +15° = 50° + 15° = 65° 

∠B = x – 15° = 50° – 15° = 35° 

∠C = x + 30° = 50° + 30° = 80° 

∴ The angles are 65°, 35° and 80°



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