Question

Sum of two angles of a triangle is 90° and their difference is 50°. Find the angles of the b
triangle​

Answer 1

in ABC,

angleA + angleB = 90° ------------(1)

angleA - angleB = 50°-------------(2)

angleA + angleB + angleC = 180° (angle sum property)--------(3)

substituting value if eq (1) in eq(3)

90° + angleC = 180°

angleC= 180°-90°= 90°

adding eq(1) & (2)

angleA + angleB +angleA - angleB = 90° +50°

2angleA = 140°

angleA = 70°

angleA + angleB = 90°

70° + angleB = 90°

angleB = 20°

Therefore, angleA= 70°

angleB = 20°

angleC = 90°