Sangeetha Pulapaka
Since the sum of the two angles is 180^\circ, they must be a linear pair or supplementary angles. The ratio of the two angles is given as 7: 8. The measure of the first angle is \frac{7}{15} \times 180^\circ = 84^\circ (the sum of their ratios is 7+8 = 15) The measure of the second angle is \frac{8}{15}\times 180^\circ = 96^\circ So the measure of the smaller angle is 84^\circ