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2 years ago

HELP ME GUYS I AM ILLITERATE find the size of unknown angle

Mathematics

2 answers:

Nadusha1986 [10]2 years ago

5 0

Answer:

Step-by-step 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°

Vlada [557]2 years ago

3 0

Answer:

x = 132°

Step-by-step 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°

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