Question

Find x in the triangle, work it out .

Answer 1

Answer:

Step-by-step explanation:

In ΔABC ,

∠A + ∠B + ∠C = 180    {Angle sum property of triangle}

90 +  ∠B + 64 = 180

        ∠B + 154 = 180

                ∠B = 180 - 154

                ∠B = 26

AD = BD

So, ∠1 = ∠3           {Angles opposite to equal sides are equal}

    ∠1 = ∠3 = 26

In  ΔADB

∠1 + ∠2 + ∠3 = 180

26 + ∠2 + 26 = 180

        ∠2 + 52 = 180

               ∠2 = 180 - 52

∠2 = 128

15x - 7 = 128

15x = 128 + 7

15x = 135

x = 135/15

x = 9