in a star PQRST prove that angle P +angle Q+angle R +angle S+angle T=180 - Maths - Lines and Angles

Question

in a star PQRST prove that angle P +angle Q+angle R +angle
S+angle T=180

Sarat · Answer

Here ABCDE is a pentagon and each interior angles A,B,C,D,E=108
Consider quadrilateral ABQE
Sum of angles in Quadrilateral =360
108+108+108+Q=360
Q=36
Similarly all P=Q=R=S=T=36
P+Q+R+S+T=180