IF AB//PQ,find y ?

Asked by nisha_vini29 | 22nd Jun, 2017, 10:18: AM

Expert Answer:

begin mathsize 16px style Join space straight A space and space straight P.
rightwards double arrow angle AQP equals 90 degree
Let space the space intersection space point space is space straight M
rightwards double arrow angle APM plus angle MPQ equals 90 degree
rightwards double arrow angle APM plus 59 degree equals 90 degree
rightwards double arrow angle APM equals 31 degree
As space AB space and space PQ space are space parallel
angle APM equals angle PAM equals 31 degree
In space increment AMP comma
angle APM plus angle PAM plus straight y equals 180 degree
31 degree plus 31 degree plus straight y equals 180 degree
rightwards double arrow straight y equals 180 degree minus 62 degree
straight y equals 118 degree end style

Answered by Sneha shidid | 22nd Jun, 2017, 03:15: PM