Question

14. In figure, D and E are the points on sides AB and AC of ∆ ABC such that DE || BC. If B=30° and A = 40°, find:
(I) x
(ll)y
(III)z

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Answer 1

Answer:

x = 30

y = 110

z = 110

Step-by-step explanation:

As ED and CB are parallel, angle ADE and angle ABC are equal (corresponding angles), hence x = 30.

In triangle ABC:

Using angle sum property, 40 + 30 + y = 180

y = 180 - 70 = 110

Again, ED and CB are parallel, so angle AED and angle ACB are equal (corresponding angles), hence z = y. But we found out the value of y in the previous step which is 110. Hence z = 110.

Answer 2

Answer:

B is 30°

so, B and x (corresponding angle)

x=30° and B=30°

y=A,B and C is 180° (because is triangle)

y=A=40,B=30,C=? =180°

y=40+30=180°

y=70=180

y=180-70

y=110°

so, z and y (corresponding)

so,z=110°

Step-by-step explanation:

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