If the measure of three angle of a quadrilateral are84°, 67° and 131

1.	If the measure of three angle of a quadrilateral are84°, 67° and 131º find the measure of fourth angle.
Answer» GIVEN : The MEASURE of three angle of a QUADRILATERAL are 84°, 67° and 131º. Need To Find : Measures of fourth angles of Quadrilateral. ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ❍ Let's Consider measure of fourth angle of quadrilateral be X respectively. $\frak{\underline { \dag As \: We \:Know \:that \:,}}\\$ $\underline {\boxed {\sf{ \star The \:sum\:of \:all\:angles \:of\:Quadrilateral \:is \:360\degree}}}\\$ Or , $\underline {\boxed {\sf{ \star \angle A + \angle B + \angle C + \angle D =\:360\degree}}}\\$ Where , $\angle A , \angle B , \angle C \:and\: \angle D$ are the all four angles of Quadrilateral. ⠀⠀⠀⠀⠀⠀ $\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\$ ⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 84 + 67 + 131 + x =\:360\degree}\\$ ⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 151 + 131 + x =\:360\degree}\\$ ⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 282 + x =\:360\degree}\\$ ⠀⠀⠀⠀⠀⠀ $:\implies \tt{ x =\:360-282}\\$ ⠀⠀⠀⠀⠀ $\underline {\boxed{\pink{ \mathrm { x = 78\:\degree}}}}\:\bf{\bigstar}\\$ Therefore, ⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm { Hence,\: Measure \:of\:\:fourth\:angle \:of\:Quadrilateral \:is\bf{\:78\degree \: }}}}\\$ ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ $\large {\boxed{\sf{\mid{\overline {\underline {\star Verification \::}}}\mid}}}\\\\$ $\frak{\underline { \dag As \: We \:Know \:that \:,}}\\$ $\underline {\boxed {\sf{ \star The \:sum\:of \:all\:angles \:of\:Quadrilateral \:is \:360\degree}}}\\$ Or , $\underline {\boxed {\sf{ \star \angle A + \angle B + \angle C + \angle D =\:360\degree}}}\\$ Where , $\angle A , \angle B , \angle C \:and\: \angle D$ are the all four angles of Quadrilateral. ⠀⠀⠀⠀⠀⠀ $\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\$ ⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 84\degree + 67\degree + 131\degree+ 78\degree =\:360\degree}\\$ ⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 282\degree + 78\degree =\:360\degree}\\$ ⠀⠀⠀⠀⠀ $\underline {\boxed{\pink{ \mathrm { 360\degree = 360\:\degree}}}}\:\bf{\bigstar}\\$ ⠀⠀⠀⠀⠀ $\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\$ ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

If the measure of three angle of a quadrilateral are84°, 67° and 131º find the measure of fourth angle.

Answer»

GIVEN : The MEASURE of three angle of a QUADRILATERAL are 84°, 67° and 131º.

Need To Find : Measures of fourth angles of Quadrilateral.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's Consider measure of fourth angle of quadrilateral be X respectively.

$\frak{\underline { \dag As \: We \:Know \:that \:,}}\\$

$\underline {\boxed {\sf{ \star The \:sum\:of \:all\:angles \:of\:Quadrilateral \:is \:360\degree}}}\\$

Or ,

$\underline {\boxed {\sf{ \star \angle A + \angle B + \angle C + \angle D =\:360\degree}}}\\$

Where ,

$\angle A , \angle B , \angle C \:and\: \angle D$ are the all four angles of Quadrilateral.

⠀⠀⠀⠀⠀⠀ $\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\$

⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 84 + 67 + 131 + x =\:360\degree}\\$

⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 151 + 131 + x =\:360\degree}\\$

⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 282 + x =\:360\degree}\\$

⠀⠀⠀⠀⠀⠀ $:\implies \tt{ x =\:360-282}\\$

⠀⠀⠀⠀⠀ $\underline {\boxed{\pink{ \mathrm { x = 78\:\degree}}}}\:\bf{\bigstar}\\$

Therefore,

⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm { Hence,\: Measure \:of\:\:fourth\:angle \:of\:Quadrilateral \:is\bf{\:78\degree \: }}}}\\$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\large {\boxed{\sf{\mid{\overline {\underline {\star Verification \::}}}\mid}}}\\\\$

$\frak{\underline { \dag As \: We \:Know \:that \:,}}\\$

$\underline {\boxed {\sf{ \star The \:sum\:of \:all\:angles \:of\:Quadrilateral \:is \:360\degree}}}\\$

Or ,

$\underline {\boxed {\sf{ \star \angle A + \angle B + \angle C + \angle D =\:360\degree}}}\\$

Where ,

$\angle A , \angle B , \angle C \:and\: \angle D$ are the all four angles of Quadrilateral.

⠀⠀⠀⠀⠀⠀ $\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\$

⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 84\degree + 67\degree + 131\degree+ 78\degree =\:360\degree}\\$

⠀⠀⠀⠀⠀⠀ $:\implies \tt{ 282\degree + 78\degree =\:360\degree}\\$

⠀⠀⠀⠀⠀ $\underline {\boxed{\pink{ \mathrm { 360\degree = 360\:\degree}}}}\:\bf{\bigstar}\\$

⠀⠀⠀⠀⠀ $\therefore {\underline {\bf{ Hence, \:Verified \:}}}\\$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

If the measure of three angle of a quadrilateral are84°, 67° and 131º find the measure of fourth angle.

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If the measure of three angle of a quadrilateral are84°, 67° and 131º find the measure of fourth angle.​

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If the measure of three angle of a quadrilateral are84°, 67° and 131º find the measure of fourth angle.