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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. |
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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