Question

The measure of one of angles of a parallelogram is 40° then find the measure of its adjacent angle?

Answer 1

Answer:

140°

Step-by-step explanation:

Given :

• The measure of one of angles of a parallelogram is 40°.

To Find :

• The measure of its adjacent angle.

Solution :

• As one of the property of parallelogram says that :

$\bf{\pink{ \star \:Adjacent \: angles \: are \: supplementary \: i. e. \: (180°). }}$

So,

Let the other adjacent angles be x.

$\leadsto{ \sf{ {40}^{ \circ} + x = {180}^{ \circ} }}$

$\leadsto{ \sf{x = {180}^{ \circ} - {40}^{ \circ} }}$

$\leadsto{ \sf{x = \pink{{140}^{ \circ} }}}$

$\tt{ \therefore \:Measure \: of \: the \: other \: adjacent \: angle \: is \: {140}^{ \circ}. }$

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More Information :

✠ A parallelogram is a quadrilateral with opposite sides parallel. Also opposite angles are equal. The opposite sides are equal. The adjacent angles are supplementary and the diagonals bisect each other ; but are not equal.

✠ A rectangle is a parallelogram but with all four interior angles fixed at 90°.

✠ A rhombus is a parallelogram but with all sides equal in length.

✠ A square is a parallelogram but with all sides equal in length and all angles fixed at 90°.

Note :

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Answer 2

⇝Given :

• The measure of 1 angle of a parallelogram is 40°.

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⇝To Find :

• Find the measure of its adjacent angle.

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⇝Solution :

${\maltese{\underline{\bf{Remember \: that :}}}}$

The sum of two adjacent angle is 180°.

${\maltese{\underline{\bf{Than, }}}}$

• Angle 1 = 40°
• Angle 2 = x
• Sum = 180°

${\sf{Angle \: 1 + Angle \: 2 = 180°}}$

${\sf{40° + x = 180°}}$

${\sf{X = 180° - 40°}}$

${\large{\purple{:{\mapsto{\underline{\boxed{\bf{X = 140°}}}}}}}}$

So,

${\red{\underline{\green{\boxed{\mathfrak{Adjacent \: angle = 140°}}}}}}$

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