Question

Given angle aoc =110° then find angle Acd​

Answer 1

ʜᴏᴘᴇs ᴛʜᴇ ᴀʙᴏᴠᴇ ᴀᴛᴛᴀᴄʜᴇᴅ ᴘɪᴄ ʜᴇʟᴘs ᴜ

ᴇxᴀᴍᴘʟᴇ

We know that the angle subtended by an arc is twice the angle subtended by it on the circumference in the alternate segment.

Thus, ∠AOC = 2∠ADC

⇒ 100° = 2∠ADC

∴ ∠ADC = 50

The oppositeangles of a cyclic

quadrilateral are supplementary and

ABCD is a cyclic quadrilateral.

Thus, ∠ADC +∠ABC = 180°

⇒ 50° + ∠ABC = 180°

⇒ ∠ABC = (180° – 50°) = 130