In the given figure, AD is perpendicular to BC ,angle BEC =100 , angle DAC = 45, then find the - Maths - Lines and Angles

Question

​In
the given figure, AD is perpendicular to BC ,angle BEC =100 , angle
DAC = 45, then find the values of x, y and z ? ( URGENT ANS PLS BY
EXPERTS )

Lovina Kansal · Accepted Answer

Dear student
In △ADC, By angle sum property of triangle,⇒∠ADC+∠DAC+∠DCA=180°⇒90°+45°+∠DCA=180°⇒∠DCA=45°In △BCE, By angle sum property of triangle, ∠BCE+∠BEC+∠CBE=180°⇒45°+100°+∠CBE=180°⇒∠CBE=35°Let the point be O where BE and AD intersects
Then In △BOD, By angle sum property of triangle,⇒∠DBO+∠BDO+∠BOD=180°⇒35°+90°+∠BOD=180°⇒∠BOD=55° Now, z+∠BOD=180°    [Linear pair]⇒z+55°=180°⇒z=125°
Regards

​In the given figure, AD is perpendicular to BC ,angle BEC =100 , angle DAC = 45, then find the values of x, y and z ? ( URGENT ANS PLS BY EXPERTS )

In the given figure, AD is perpendicular to BC ,angle BEC =100 , angle DAC = 45, then find the values of x, y and z ? ( URGENT ANS PLS BY EXPERTS )