Question

Two angles of a triangle are equal and the third angle is greater than each of the those angle by 30 degree determine all the angle of the triangle

Answer 1

Let all three angles of triangles are x, y, z

x = y given (1)
z = x + 30 or z = y + 30 also given (2)

sum of all the angles of triangle is equal to 180°,

hence,

x + y + z = 180° (from triangle property sum of angles of triangle are straight angle(180°))

using equation (1) & (2) in (3), we get

x + x + x + 30 = 180° (from eq. 1 & 2)

3x + 30 = 180°

3x = 180-30
x = 150÷3
x = 50°

hence,

z = 50 + 30= 80°