Question

11. In the given figure, <A = 30°, <ABC = 150°, <CBD = 45°, <BCD = 150°,
AC = 15 cm and BD = 3x + 3 cm. Find the value of x.​

Answer 1

Since Angle ABC + Angle ABG = 180° by linear pair..

=) Angle ABG = 30°

Since sum of all angles of a triangle = 180°

=) 30°+ 30° + Angle AGB = 180°

=) Angle AGB = 120°

It also equal to Angle GDE = x due to corresponding angles.

x = 120°

Hope it's helpful to u.