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Find the measure of ZGHJ and ZGI.68°H31°.K115°angle GHJ =degreesangle GIJ =degrees

Find The Measure Of ZGHJ And ZGI68H31K115angle GHJ Degreesangle GIJ Degrees class=

Sagot :

We are asked to determine angles GHJ and GIJ. To do that we need to have into account that these two angles are half the measure of their respective intercepted arc. Since both intercepted arcs are the same then the angles are equal. The intercepted arc is given by:

[tex]\begin{gathered} \theta=360-68-31-115 \\ \theta=146 \end{gathered}[/tex]

Therefore, the angles are:

[tex]\angle GHJ=\angle GIJ=\frac{\theta}{2}=\frac{146}{2}=73[/tex]

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