The British extended their rule in India through several wars and policies: 1) The Anglo-Maratha wars resulted in the defeat of the Maratha empire and the annexation of their territories after they lost the three wars between 1775-1818. 2) The Doctrine of Lapse allowed the British to annex princely states like Satara, Nagpur, and Jhansi if the rulers did not have a male heir. 3) The Anglo-Sikh wars led to the defeat of the Sikh empire in the Punjab and its annexation after the Sikhs lost the first and second Anglo-Sikh wars in 1846 and 1849.