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erma4kov [3.2K]
3 years ago
11

Please help anyone who great in math

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>circle </u><u>along </u><u>with </u><u>the </u><u>measure </u><u>of </u><u>two </u><u>angles </u><u>at </u><u>the </u><u>centre</u>

  • To calculate - <u>measure </u><u>of </u><u>angle </u><u>JGH</u>

We know that ,

<u>the </u><u>sum </u><u>of </u><u>all </u><u>the </u><u>angles </u><u>at </u><u>the </u><u>centre </u><u>or </u><u>the </u><u>sum </u><u>of </u><u>all </u><u>the </u><u>central </u><u>angles </u><u>of </u><u>a </u><u>circle </u><u>equals </u><u>3</u><u>6</u><u>0</u><u>°</u>

\therefore \: \angle \: IGJ \:  +  \: \angle \: IGH \:  +  \: \angle \: JGH = 360\degree \:  \\  \\ \implies \: 125\degree + 149\degree + \angle \: JGH = 360\degree \\  \\ \implies \: 274\degree + \angle \: JGH = 360\degree \\  \\ \implies \: \angle \: JGH = 360\degree - 274\degree \\  \\ \implies \: \angle \: JGH = 86\degree

therefore , <u>option </u><u>(</u><u> </u><u>c </u><u>)</u><u> </u><u>8</u><u>6</u><u>°</u> is correct

hope helpful ~

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