Answered

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Inscribed angles, I’m being asked for a, and b but I don’t understand this question

Inscribed Angles Im Being Asked For A And B But I Dont Understand This Question class=

Sagot :

Given the figure of a circle.

There are 3 arcs with the following measures: a, 100, and 136

the sum of the measures of the arcs = 360

So, we can write the following equation:

[tex]a+100+136=360[/tex]

Solve the equation to find (a):

[tex]\begin{gathered} a+236=360 \\ a=360-236=124 \end{gathered}[/tex]

The angle (b) is the Inscribed angle opposite the arc (a)

[tex]b=\frac{1}{2}a=\frac{1}{2}*124=62[/tex]

So, the answer will be:

[tex]\begin{gathered} a=124 \\ b=62 \end{gathered}[/tex]

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