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vivado [14]
3 years ago
15

Find the value of x ​

Mathematics
1 answer:
givi [52]3 years ago
3 0

Answer:

110°

Step-by-step explanation:

In triangle AOB

OA = OB (radii of same circle)

m\angle OAB = m\angle OBA =20\degree

m\angle AOB = 180\degree - (20\degree +20\degree)

m\angle AOB = 180\degree - 40\degree

m\angle AOB = 140\degree

m\widehat {ACB} =m\angle AOB = 140\degree

(measure of minor arc is equal to corresponding central angle)

x\degree = \frac{1}{2} (360\degree - 140\degree)

(inscribed angle theorem)

x\degree = \frac{1}{2} \times 220\degree

\huge\purple {x = 110}

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