Question

The ratio of two complementary angles is 7:2. What is the measure, in degrees, of the larger angle?

Answer 1

The larger angle is 70°

And The smaller angle is 20° .

Explanation:

Given as :

The ratio of two complementary angles = 7 : 2

Let The larger angle = 7 x

And The smaller angle = 2 x

Now, According to question

Complementary angle is define as when two angles were added to make right angle i.e 90° are complementary to each other .

So, here

7 x + 2 x = 90°

Or, 9 x = 90°

∴ x =
`(90^(\circ))/(9)`

i.e x = 10°

Now, putting the value of x

So, The larger angle = 7 × 10° = 70°

And The smaller angle = 2 × 10° = 20°

Hence, The larger angle is 70°

And The smaller angle is 20° . Answer