Question

the measure of the complement of an angle exceeds the measure of the angle by 24°.find the measure of the angle.

Answer 1

Answer:

Sol. Let the first angle be x°.

And its complement angle = x° + 24°

According to question

x + x + 24° = 90°

2x + 24° = 90°

2x = 90° - 24°

2x = 66°

x = 66/2

x = 33°

Hence First angle = 33°

And complement angle = 33° + 24°

= 57°

Answer 2

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.

Solution. Let the first angle be $x^\circ$

And its complement angle $= x^\circ+ 24^\circ$

According to question

$x + x + 24^\circ = 90^\circ$

$2x + 24^\circ = 90^\circ$

$2x = 90^\circ - 24^\circ$

$2x = 66^\circ$

$x = 66/2$

$x = 33^\circ$

Hence the First angle $= 33^\circ$

And complement angle $= 33^\circ+ 24^\circ$

$= 57^\circ$

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