Step-by-step explanation:
step 1. KITE is a kite
step 2. <ski + <kis + 90 = 180 (internal angles of a triangle has a sum of 180)
step 3. <ski + 25 = 90
step 4. <ski = 65°
step 5. <kes = <kis (angles across equal sides are equal)
step 6. <kes = 25°
step 7. <kie = <kis (they are the same angle)
step 8. <kie = 25°.
step 9. let's call ek = x and et = 1 5x
step 10. therefore x + 1.5x + x + 1.5x = 55
step 11. 5x = 55 or x = 11 = ek
step 12. et = 1.5x = 1.5(11) = 16.5.
