Question

Two complementary angles differ by 30°.Find the measure of each angle.​

Answer 1

Answer:

Complementary angles= 90 degrees

let the first angle be =x

and second angle = x-30

therefore x + (x - 30) = 90

=> x + x - 30 = 90

=> 2x - 30 = 90

=> 2x = 90 + 30

=> 2x = 120

=> x= 120/2

=> x = 60 degrees.

therefore, first angle = x = 60 degrees

and second angle = x-30 = 30 degrees.

CHECK :-

Complementary angles = 90 degrees.

therefore, 1st angle + 2and angle = 90 degrees.

therefore, 60 degrees + 30 degrees = 90 degrees.

HENCE, THE ANSWER IS CORRECT...

HOPE IT HELPS

Answer 2

Answer:

The two complementary angles are 60 degree and 30 degree.

Step-by-step explanation:

What are Complementary angles? Complementary angles are either the two angles which together make the sum of 90 degree.

We are asked to find the two complementary angles here.

let the one of angle be $x$ that means the second angle will become $x-30$

Therefore, the sum of both the angles are

$x+ (x-30)=90\\x+x- 30=90\\2x-30=90\\2x=90+30\\2x=120\\x=\frac{120}{2} \\x= 60 degrees$

Here we get one of the angle as 60 degrees

So second angle is (x-30)

Putting the value of x in above

we get-

$second angle= x-30\\second angle= 60-30\\second angle= 30 degrees$

Lets check whether they are complementary angles or not.

We will check them by adding both of them-

$60^{0} +30^{0} =90^{0}$

Hence, we get the correct complementary angles as 60 and 30.

#SPJ2

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