Question

the ratio of measures of two adjacent angles of parallogrom is 1 : 2 find measures of

all four angles​

Answer 1

Let The measures of two adjacent angles of parallogrom is x and 2x.

$\underline{\sf{\green{Given}}}$

• Two adjacent angles of parallogrom is 1 : 2.

$\underline{\green{\sf{To \ Find}}}$

• Measure of all Angles

$\underline{\sf{\green{Step~ By~Step~ Explanation}}}$

It is Given that Sum of Two adjacent angles of parallogrom is x and 2x

We Know That

$\text{Sum of Two adjacent angles of parallogrom is \: 180°}$

$\tt \: x+2x=180°$

$\tt \: 3x=180°$

$\tt \: x=180°/3$

$\tt \: x=60°$

• $\sf{Angle~ A=\green{60°}}$
• $\sf{Angle~ B=2x=2×60=\green{120°}}$
• $\sf{Angle~ C=A=\green{60°}~~~~~~~~~~~~~Opposite~ Angle ~Are ~Equal ~In~ Parallelogram}$
• $\sf{Angle~ D=B=\green{120°}~~~~~~~~~~~Opposite~ Angle ~Are ~Equal ~In~ Parallelogram}$

Hope It Helpful ❣️

Answer 2

Given :

• Shape = Parallelogram
• The ratio of measures of two adjacent angles of parallogrom is 1 : 2
• Type of Angle = Adjacent Angles

To Find :

• Measures of all the angles of the Parallelogram.

Solution :

➟ Let the First Adjacent Angle be p

➟ Let the Second Adjacent Angle be 2p

⠀

✰ Sum of Adjacent Angles = 180°

⠀

According to the Question :

⟶⠀Sum of Adjacent Angles = 180°

⟶⠀p + 2p = 180°

⟶⠀3p = 180°

⟶⠀p = 180°/3

⟶⠀p = 60°

___________________

Therefore :

➥ First Angle = p

➥ First Angle = 60°

⠀

➥ Second Angle = 2p

➥ Second Angle = 2 × 60°

➥ Second Angle = 120°

⠀

Thus, Angles of the Parallelogram are 60°, 120° , 60° and 120° .

___________________