2. AB – AD and BC - DC. Solve for x:

From the diagram since AB = AD = BD, hence ABD is an equilateral triangle. (All angles = 60 degrees)

ADC is a straight line, hence BDC = 120 degrees and triangle BDC is an isosceles triangle.

Hence angle B = C and B+C = 180-120 = 60 degrees.

Hence, (x) angle C = A. 30 degrees

Step-by-step explanation:

answer: x

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5