Question

FIND THE VALUES OF X AND Y

Answer 1

Answer:

x = 30°

y = 15°

Step-by-step explanation:

OD and EC are parallel straight lines and OC is a transversal.

∴ ∠COD = ∠OCE = 30°

∴ 2y = 30°  [∵ y is intercepted angle on the circumference by arc CD,

                      while ∠COD is intercepted angle at the centre by the same arc]

∴ y = 15°

Now ∠DBA = $\frac{1}{2}$∠DOA = $\frac{1}{2}$ . 90° = 45° [angles intercepted by arc DA]

y + ∠DBA + x = 90°

∴ x = 90° - 45° - 15° = 30°

Answer 2

Answer:

x=30

y=15

Step-by-step explanation:

Hope it helped