Question

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

Answer 1

Answer:

The larger angle is 70°

And The smaller angle is 20°  .

Step-by-step 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 = $\dfrac{90^{\circ}}{9}$

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