Question

An angle is 12 degree more than its complement. The measure of the angle is :​

Answer 1

Answer:

78 :-

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

★ Given :

• An angle is 12° more than its complement.

★ To Find :

• Measure of the angle

★ Solution :

✞ A complementary angles measure 90°.

Let one angle be x.

Let the other angle be x + 12.

$\displaystyle{ \mapsto \sf{x + x + 12 = {90}^{ \circ} }}$

$\displaystyle{ \mapsto \sf{2x + 12 = {90}^{ \circ} }}$

$\displaystyle{ \mapsto \sf{2x = {90}^{ \circ} - {12}^{ \circ} }}$

$\displaystyle{ \mapsto \sf{2x = {78}^{ \circ} }}$

$\displaystyle{ \mapsto \sf{x = \frac{ \cancel{78}}{ \cancel{2}} }}$

$\displaystyle{ \mapsto \sf{x = {39}^{ \circ} }}$

Hence, value of x is 39°.

✠ The angles are :

❒ x = 39°

❒ x + 12 = 39 + 12 = 51°

According to the question,

∴ The angle which is 12° more than its complement. The measure of the angle is : 51°. The other angle is 39°.