Question

An angle is 14 degrees more than complementary angle find the measure​

Answer 1

`\Huge \boxed{\mathrm{52\°}}`

Explanation:

Complementary angles add up to 90 degrees.

There are two angles in this case.

Let the first angle be x.

Let the second angle be x+14.

The sum of these two angles is 90.

x + x + 14 = 90

Combine like terms.

2x + 14 = 90

Subtract 14 from both sides.

2x = 76

Divide both sides by 2.

x = 38

Let x = 38 for the second angle.

38 + 14 = 52

The two angles are 52 degrees and 38 degrees.

52 degrees is 14 degrees more than complementary angle.

Answer 2

`\huge\boxed{ Angle = 52\ degrees}`

Explanation:

Complementary angles add up to 90 degrees

So, Let the first angle be x then the second angle will be x + 14

Given condition is:

x + x + 14 = 90

2x + 14 = 90

Subtracting 14 to both sides

2x = 90 - 14

2x = 76

Dividing both sides by 2

x = 38

So, the second angle that is 14 degrees more than 38

=> Second Angle = 38 + 14

=> Second Angle = 52 degrees