three outer angles of quadrilateral are 80⁰,100⁰,120⁰ find the remaining outer angles and the measures of their inner angles About the author Sophia
Given:- Outer angles of quadrilateral ie., [tex]80^{0},100^{0}&120^{0}[/tex] To Find:- Inner angles and remaining outer angle. Explanation:- Consider a quadrilateral ABCD Outer angles which are given are shown in red colour. Angle subtended by a straight line is [tex]180^{0}[/tex] [tex]\text{Therefore},\\ \text{inner angle A}=180-120=60^{0}\\\\\text{Similarly,} \text{inner angle B}=180-80=100^{0}\\\\\text{inner angle D}=180-100=80^{0}\\\\\text{inner angle C}=360-(60+100+80)=120^{0}\\\\\text{outer angle at C}=180-120=60^{0}[/tex] Reply
Given:-
Outer angles of quadrilateral ie., [tex]80^{0},100^{0}&120^{0}[/tex]
To Find:-
Inner angles and remaining outer angle.
Explanation:-
Consider a quadrilateral ABCD
Outer angles which are given are shown in red colour.
Angle subtended by a straight line is [tex]180^{0}[/tex]
[tex]\text{Therefore},\\ \text{inner angle A}=180-120=60^{0}\\\\\text{Similarly,} \text{inner angle B}=180-80=100^{0}\\\\\text{inner angle D}=180-100=80^{0}\\\\\text{inner angle C}=360-(60+100+80)=120^{0}\\\\\text{outer angle at C}=180-120=60^{0}[/tex]
I hate finding things