Question

Please answer this!:
Find the value of x in each case...

Answer 1

Explanation:

1) AE // AC and EB is transversal

2x+ 6x = 180 {Co-interior angles are supplementary}

8x = 180

x = 180/8

x = 22.5

2)8x + ∠CAB = 180 {Linear pair}

∠CAB = 180 - 8x

9x + ∠ABC = 180 {linear pair}

∠ABC = 180 - 9x

∠CAB + ∠ABC + ∠ACB = 180 {Angle sum property of triangle}

180 - 8x + 180 - 9x + 5x = 180

-8x - 9x + 5x = 180 - 180 - 180

-12x = -180

x = -180/-12

x = 15