Question

find the unknown angles​

Answer 1

here is your answer

∆ BAC =∆ACD (because these are adjacent angles)

therefore y=35°

∆DAC=∆ACB (because these are adjacent angles)

therefore x =55°

Answer 2

Answer:

x=55° & y=35°

Step-by-step explanation:

in semi circle ABC the ∠ABC = 90° (∵every angle in a semi circle is 90°)

∴in ΔABC = 35° + 90° + x = 180° (∵angle sum prop. of triangle)

                 ⇒ x=55°

SIMILARLY,  in ΔADC ⇒ y=35°

i hope this will help you...............