2 years ago

In the diagram <1 and <8 are supplementary. What is the name for this angle pair? Explain

Mathematics

1 answer:

shutvik [7]2 years ago

6 0

oddly enough, supplementary angles. Namely ∡1 + ∡8 = 180°.

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Find the value of x

givi [52]

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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98% sure this is right

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Step-by-step explanation:

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