Question

In the following figures, if AB || CD, find the values of x and y. a. 2 E С х D у 35° 45° A B​

Answer 1

Answer:

.Answer:

Two angles whose sum is 90° are called complementary angles.

(i) Complement of 55° = 90° − 55° = 35°

(ii) Complement of 16°=(90-16)°=74°

(iii) Complement of 90° = 90° − 90° = 0°

(iv)

2

3

of a right angle⇒(90×

2

3

)°=60°

Complement of

2

3

of a right angle=(90-60)°=30°

Answer 2

Answer:

Here, ∠x+50

0

=180

0

--- straight line

∠x=180

0

−50

0

∠x=130

0

And ∠y=130

0

--- vertically opposite angles

Thus, ∠x=∠y=130

0

Using Theorem: If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.

Thus, AB Il CD