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 = [tex]\dfrac{90^{\circ}}{9}[/tex]
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