Question

⭐️♥️Good Morning ♥️⭐️
I♦️Questuon:-n the figure given below O is the centre of the circle and AB is a diameter of AC=BD and AOC=72 find
ABC
BAD♦️❎spammers not allowed ❎Wrong answers will be reported ⚠️⚠️️​

Answer 1

☆Answer ☆

AOC=72°

ABC=AOC (opposite angles)

72°=72°

ABC+ABD=180°(linear pair)

or,ABD=180°-72°=108°

ABC=BAD (opposite angles)

72°=72°

☆Extra Knowledge ☆

Recall some properties of circle:

1. Angle at the centre of a circle is twice the angle at the circumference

2. In an isosceles trapezoid, the upper base angles are congruent. The lower base angles are also congruent.

3. Triangle inscribed in a semicircle is a right angle triangle.

4. Sum of the angles in a triangle is 180.