Question

in a parallelogram measure of an angle is 40 degree find measure of it's adjacent angle​

Answer 1

Answer:

The angles are :

70°

70°

110°

110°

Step-by-step explanation :

Given :

An angle of a parallelogram exceeds its adjacent angle by 40°

To Find :

The measures of the remaining angles.

Solution :

★ Consider the -

One angle as - y + 40

Another angle as - y

We know that :

★ Angle sum property of a parallelogram = 360°

Now,

\bigstar\;\boxed{\sf y+40+y+40+y+y=360\textdegree}}

Values in Equation,

⇒ y + 40 + y + 40 + y + y = 360°

⇒ 4y + 80 = 360°

⇒ 4y = 360 - 80

⇒ y = \sf \dfrac{280}{4}

4

280

⇒ y = 70

Therefore,

The angles are :

70°

70°

110°

110°

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.

￣￣￣￣￣￣￣￣￣￣￣￣

⇝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°

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

${\sf{40° + x = 180°}}$

${\sf{X = 180° - 40°}}$

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

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