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Alexandra [31]
2 years ago
15

An angle measureless 60 degrees the measure of it complementary angle. What is the measure of each angle

Mathematics
2 answers:
Ludmilka [50]2 years ago
5 0

Step-by-step explanation:

Finally complement of the supplement of twice the angle 60°=90°-60°=30

60 degrees angle is an acute angle because it is less than 90 degrees. 60° in radians is π/3 and the measure of each angle of an equilateral triangle is 60°. Therefore, it is also called a 60-degree angle triangle.

<h2>please mark me as brainlist please</h2>
antoniya [11.8K]2 years ago
3 0

Given :

  • An angle which measures less 60° the measure of its complementary angle.

⠀

To Find :

  • The measure of its complementary angle.

⠀

Solution :

Let's assume the one of the complementary angle as "x" and the other angle as (x - 60)° .

Now,

According to the Question :

\: \qquad  \dashrightarrow \sf{{x {}^{ \circ}  + (x - 60) {}^{ \circ} =  {90}^{ \circ}   }}

\: \qquad  \dashrightarrow \sf{{x {}^{ \circ}  + (x - 60) {}^{ \circ} =  {90}^{ \circ}   }}

\: \qquad  \dashrightarrow \sf{{x {}^{ \circ}  + x {}^{ \circ}  - 60 {}^{ \circ} =  {90}^{ \circ}   }}

\: \qquad  \dashrightarrow \sf{{{2x}^{ \circ}     =  {90}^{ \circ} + 60 {}^{ \circ}  }}

\: \qquad  \dashrightarrow \sf{{{2x}^{ \circ}     =  150 {}^{ \circ}  }}

\: \qquad  \dashrightarrow \sf{{x =   \dfrac{150 {}^{ \circ}}{2 {}^{ \circ}}   }}

\: \qquad  \dashrightarrow \bf{{{x}^{ \circ}     =  75 {}^{ \circ}  }}

Therefore,

  • One angle = 75°
  • Other angle = 75° – 60° = 15°

⠀

Henceforth ,

The measure of the two angles are 75° and 15° .

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