Question

If two complementary angles are in the ratio 7 : 11, the supplement of the larger angle is _________.

Answer 1

Let the two complementary angle be 7x and 11x.

Now,

7x + 11x = 90º (Two angles are complementary if their sum is 90º)

⇒ 18x = 90º

$\Rightarrow x=\frac{90°}{18}=5°$

$\therefore 7x=7\times 5°=35°$ and $11x=11\times 5°=55°$

So, the measure of the larger angle is 55º.

∴ Supplement of the larger angle = 180º − 55º = 125º

If two complementary angles are in the ratio 7 : 11, the supplement of the larger angle is ___125º___.