Question

question no 19 _De is parallel to BC if angle b is equal to 30 angle is equal to 40 find X Y and Z..pl answer fast .. it's urgent

Answer 1

Answer:

x = 30°, y = 110°, z = 110°

Step-by-step explanation:

DE||BC => ∠ABC = ∠ADE (Corresponding angles of parallel lines)

∴ x = 30°

In ΔABC, ∠A+∠B+∠C = 180° (Angle sum property)

=> 40° + 30° + y = 180 => y = 110°

∵DE||BC, ∠AED = ∠ACB (corresponding angles)

∴ y = z = 110°

Answer 2

In triangle ABC, by angle sum property
40°+ 30°+ y = 180°
70°+ y = 180°
y = 180° - 70°
y= 110°


given DE parallel to BC therefore, AC is a transversal
therefore, z = y = 110° (corresponding angles)

In triangle ADE, by angle sum property
40°+ 110°+ x = 180°
150°+ x = 180°
x = 180° - 150°
x = 30°