in the follwing figure ,pr=pq and angle prs=100degree then find angle q and p
Answers
Answered by
1
In triangle PQR,
angle Q = 70 degree
angle PRS = 105 dergrees
let angle QRP be angle 1, then;
angle 1+ 105 degree = 180 degree (linear pair)
angle 1 = (180 - 105) degrees
= 75 degree
now, since we have angle Q = 70 degree, and
angle 1 = 75 degree
let the unknown angle i.e. angle P be x degrees
now, angle (Q + 1 + x) = 180 degrees (angle sum proplerty of a triangle)
(70 + 75 + x) degrees = 180
(145 + x )degrees = 180
x = (180 - 145)
= 35 degrees
therefore angle P = 35°
Similar questions