find x

Asked by pranita.krmis | 29th Jun, 2020, 02:01: PM

Expert Answer:

In the figure, AB ll ED
angle ABC = 30o and angle EDC = 70o
Draw a perpendicular line joining B and D.
So, CBD forms a triangle
angle A B D equals 90 degree
rightwards double arrow angle A B C plus angle C B D equals 90 degree
rightwards double arrow 30 degree plus angle C B D equals 90 degree
rightwards double arrow angle C B D equals 60 degree
A l s o comma space angle E D C equals 90 degree
rightwards double arrow angle E D C plus angle C D B equals 90 degree
rightwards double arrow 70 degree plus angle C D B equals 90 degree
rightwards double arrow angle C D B equals 20 degree
I n space triangle B C D comma space
angle B C D plus angle C B D plus angle C D B equals 180 degree
rightwards double arrow angle B C D equals 180 degree minus 80 degree equals 100 degree
rightwards double arrow x equals 360 degree minus 100 degree equals 260 degree

Answered by Renu Varma | 1st Jul, 2020, 01:36: PM