Triangle FDR and triangle WKL are similar with the following measures. The measure of angle F equals 62 degrees. The measure of angle D equals 88 degrees. The measure of angle R equals 30 degrees. FD equals 12 inches. DR equals 21.19 inches. RF equals 23.99 inches. The measure of angle W equals 62 degrees. The measure of angle K equals 88 degrees. The measure of angle L equals 2x minus 10 degrees. WK equals 21 inches. KL equals y inches. LW equals 3z plus 3 inches. Find the values of x, y and z.
The measure of angle L equals the measure of angle R. 2x minus 10 equals 30. 2x equals 40. X equals 20. FD over WK equals DR over KL. 12 over 21 equals 21.19 over y. 12 y equals 21 times 21.19. 12y equals 444.99. y equals 37.08. FD over WK equals RF over LW. 12 over 21 equals 23.99 over the quantity 3z plus 3. 12 times the quantity 3z plus 3 equals 21 times 23.99. 36z plus 36 equals 503.79. 36z equals 467.79. z equals 12.99.
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