What is the value of 3 in the figure shown below? с
4.3
D
61
3
3
53
A
4.3

9514 1404 393

  66

Step-by-step explanation:

Angle D (x°) is the same measure as angle A. The measure of angle A is that required to make the total of angles in ΔABC be 180°.

  ∠A = 180° -61° -53° = 66°

The value of x is 66.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6