Math, asked by karamjit79, 8 months ago

The measure of two angles of a quadrilateral is 105 degree and 45 degree and the other two angles are equal in measure. Find the measure of each of the equal angles.
Please give proper explanation.

Answers

Answered by Anonymous

Step-by-step explanation:

$\large\bold \red{Question}$

The measure of two angles of a quadrilateral is 105 degree and 45 degree and the other two angles are equal in measure. Find the measure of each of the equal angles.

$\large \bold \green{Answer}$

☞ Let the two angles be 'x' because measure of both angles is same.

☞We know sum of all angles of a quadrilateral is 360°

☞Solution:-

$x + x + 105 + 45 = 360$

$2x + 150 = 360$

$2x = 360 - 150$

$2x = 210$

$x = 210 \div 2$

$x = 105$

☞Measure of both of the angles is 105°

$\large \bold \pink{Verification}$

105+105+105+45=360

360=360

Verified!

Answered by Anonymous

HeRe iS YoUr aNsWeR ⬇️⬇️

Let the measure of one of the angle be $\large\red{x}$

The measure of both angles is equal.........[given]

Therefore, the measure of two unknown angles will be $\large\red{2x}$

$\large\blue{\underline{\underline{\rm{Therefore ,}}}}$

105° + 45° + (2x)° = 360°........[Angle-sum property]

==> 150° + (2x)° = 360°

==> (2x)° = 360° - 150

==> (2x)° = 210°

$= = > {x}^{o} = \frac{210}{2}$

==> x° = 105°

$\large\green{\underline{\underline{\rm{Therefore ,}}}}$

The measure of 1 angle is 105°

As the angles are equal the measure of second angle will be 105° itself.

HoPe iT HeLpS YoU ♥️♥️♥️

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The measure of two angles of a quadrilateral is 105 degree and 45 degree and the other two angles are equal in measure. Find the measure of each of the equal angles.Please give proper explanation. ​

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The measure of two angles of a quadrilateral is 105 degree and 45 degree and the other two angles are equal in measure. Find the measure of each of the equal angles.
Please give proper explanation.