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nikitadnepr [17]
4 years ago
9

The diagram shows a circle centre O work out the size of angle X work out the size of angle y

Mathematics
2 answers:
soldier1979 [14.2K]4 years ago
7 0

Answer:

x = 116° , y = 20°

Step-by-step explanation:

bagirrra123 [75]4 years ago
3 0

Answer:

x = 116° , y = 20°

Step-by-step explanation:

Since, measure of angle subtended on the center of the circle is twice the measure of angle subtended on the circumference of the circle.

\therefore \: x = 2 \times 58 \degree \\ \huge \red{ \boxed{  \therefore \: x =116 \degree}} \\   \\

Now, by angle sum property of a quadrilateral.

y + (360 - 116) \degree + 38 \degree + 58 \degree = 360 \degree \\ y + 244 \degree + 96 \degree = 360 \degree \\ y + 340 \degree= 360 \degree \\ y =  360 \degree - 340 \degree \\ \huge \purple{ \boxed{ y = 20 \degree}}

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