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€ → Cdeltamath.com/app/student/solve/15146003/_kphillips_284anglesChords TangentsSecantsIf mMF = 42° and mNH = 132º, find mZC.MHPOAnswer: mZC =Submit Answer

Cdeltamathcomappstudentsolve15146003kphillips284anglesChords TangentsSecantsIf MMF 42 And MNH 132º Find MZCMHPOAnswer MZC Submit Answer class=

Sagot :

Given:

Measure of arc MF = 42 degrees

Measure of arc NH = 132 degrees

Let's find the measure of angle C.

To find the measure of angle C, apply the arc and secant relationship:

[tex]m\angle C=\frac{far\text{ arc - near arc}}{2}[/tex]

Where:

Far arc = arc NH = 132 degrees

Near arc = arc MF = 42 degrees

Thus, we have:

[tex]\begin{gathered} m\angle C=\frac{132-42}{2} \\ \\ m\angle C=\frac{90}{2} \\ \\ m\angle C=45^0 \end{gathered}[/tex]

Therefore, the measure of angle C is 45 degrees.

ANSWER:

45 degrees.