Question

find measure in a quadrilateral whose angles are 90°,50°,110°​

Answer 1

Fourth angle of the given quadrilateral is 110°

Answer 2

${\fbox{\fbox{\huge\sf\red{☞QuesTioN}}}}$

→Find measure of one angle in a quadrilateral whose other angles are 90°,50°,110°.

${\fbox{\fbox{\huge\sf\pink{☞AnsWeR}}}}$

$\sf\orange{Sum \:of\: interior\: angles\: of\: quadrilateral =>}$⠀ ⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀$\sf\orange{ 360 °}$

$\sf\blue{\angle{A}+\angle {B}+\angle {C}+\angle{D}=> 360° }$

$\sf\purple{90°+50°+110°+\angle{D}=> 360° }$

$\sf{250°+\angle{D}=> 360° }$

$\sf\green{\angle{D}=> 360°-250°=>110° }$

Therefore , angles of quadrilateral are 90°,50°,110°and 110°.