Question

HELP ME GUYS I AM ILLITERATE

find the size of unknown angle

Answer 1

x = 132°

Explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180 {Angle sum property}

84 + ∠AOC = 180

∠AOC = 180 - 84

∠AOC = 96°

y = 96/2 {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180 {sum of opposite angles of Cyclic Quadrilateral}

x + y = 180

x + 48 = 180 {from (I) }

x = 180 - 48

x = 132°

Answer 2

Explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180 {Angle sum property}

84 + ∠AOC = 180

∠AOC = 180 - 84

∠AOC = 96°

y = 96/2 {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180 {sum of opposite angles of Cyclic Quadrilateral}

x + y = 180

x + 48 = 180 {from (I) }

x = 180 - 48

x = 132°