Question

an angle it 44 degree more than twice of its supplmentary angle find the angle​

Answer 1

Answer:

4x°+104°=180°. or. x= 76°/4 =19°. 2nd angle = x+44 = 19+44 = 63°.

Step-by-step explanation:

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Answer 2

$\red\bigstar$ Correct Question:

• A given angle is 45° more than twice of its supplementary angle. Find the unknown angle.

$\pink\bigstar$Answer:

$\boxed{x \:= \:{135}^{\circ}\:}$

$\blue\bigstar$Given:

• An angle is 45° more than twice of its supplementary angle.

$\green\bigstar$To find:

• The unknown angle.

$\red\bigstar$ Solution:

Let the unknown angle be x.

It's supplementary angle:

$\hookrightarrow$ 180° - x

( Since sum of two supplementary angles is 180°)

Twice of the supplementary angle:

$\hookrightarrow$ 2 ( 180° - x )

45° more than twice of that supplementary angle:

$\hookrightarrow$ 2( 180° - x ) + 45°

The two expressions are equal,

( Given )

$\therefore$ x = 2( 180° - x ) + 45°

Now by simplifying, we get :

x = 2( 180° - x ) + 45°

$\implies$ x = 360° - 2x + 45°

$\implies$ x + 2x = 360° + 45°

$\implies$ 3x = 405°

$\implies$ x = $\dfrac{{405}^{\circ}}{3}$

$\implies$ $\boxed{x \:= \:{135}^{\circ}\:}$

$\boxed{\therefore \:x \:= \:{135}^{\circ}\:}$

$\pink\bigstar$ Concepts Used:

• Assumption of the given unknown angle.
• Sum of two supplementary angles is 180°.
• Making of expressions.
• Equation of the expressions which are equal.
• Solving the expressions.
• Transposition method.

$\blue\bigstar$Extra - Information:

• Acute angle - An angle which is between 0° and 90°.
• Right angle- A right angle is an angle which is equal to 90°.
• Obtuse angle - An angle which is between 90° and 180°.
• Reflex angle - An angle which is between 180° and 360°
• Straight angle - An angle which is exactly equal to 180°.
• Complete angle - An angle which is exactly equal to 360°.
• Complementary Angles are those which have the sum of two angles as 90°.
• Supplementary Angles are those which have the sum of two angles as 180°.