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