Question

Find the value of x in each case

Answer 1

Step-by-step explanation:

Angle ABC + Angle CBD = 180°

(Linear pair angle)

Angle ABC + (11x-60°)= 180°

Angle ABC = 180°- (11x - 60°)

180°- 11x + 60°

Angle ABC =240° - 11x

NOW

angle ABC + angle BCA + angle CAB= 180°

BY ANGLE SUM PROPERTY

(240° - 11x) + 4x + (3x + 40°) = 180°

240° - 11x + 4x + 3x + 40° = 180°

280° - 11x + 7x = 180°

280° - 4x = 180°

280° - 180° = 4x

100° = 4x

[X = 25°]

ANGEL A IS 3X + 40°

3×25 + 40°

75° + 40°

115°

ANGEL C IS 4X = 4 × 25°

100°

Answer 2

CBD=BAC+ACB
11x-60=3x+40+4x
11x-60=7x+40
11x-7x=40+60
4x=100
x=100/4
x=25