Question

Two complementary angles differ by 10° . What is the larger angle?

Answer 1

let the smaller angle be x degree
and larger angle be x+10 degree
x+x+10 =90 degree (sum of complementary angle is = 90degree )
2x+10=90
2x= 90-10
2x= 80
x=80÷2
x= 40
smaller angle = x => 40
larger angle => x+10 => 40+10= 50
hope it will help you

Answer 2

$\textbf{\huge{ANSWER:}}$

Now, we can let the smaller angle to be = x

Then, our larger angle, according to the given information, will be:

$\tt{x + 10}$

Complementary Angles - The sum of angles which add up to 90° are referred to as Complementary angles.

According to the Question :-

x + x + 10 = 90°

=》 2x = 90 - 10

Subtract it

=》 2x = 80

=》 x = $\frac{80}{2}$

Divide and Get the answer

=》 $\tt{x = 40}$°

Now, that we have the value of x ( as 40° ), we can say that :-

x + 10 = 40° + 10

=》 $\tt{50}$°

There's your answer !