Question

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

Answer 1

Answer:

Step-by-step 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