Question

If two supplementary angles are in a ratio of 5:7, then the larger of the two angles is a. 75° b. 105°. c. 140°. d. 155⁰.​

Answer 1

$Sum \: of \: Supplementary \: Angle \: \\ = 180°$

$5:7 = 12$

$1) = \: \: \frac{5}{12} \times 180°$

$= 5 \times 15$

$= 75°$

$2) \: \frac{7}{12} \times 180$

$= 7 \times 15$

$= 105°$