emansherif0205
Answered

The vertices of triangle HIJ lie on circle K, as shown.

Triangle H I J has vertices on circle K. Segment J H is a diameter of the circle.

If m∠IHJ is 42°, what is m∠IJH?

45°
48°
138°
228°



Answer :

mhanifa

Answer:

  • B) 48°

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The vertex opposite to the diameter is 90°, hence the other two angles of the triangle are complementary.

It means:

  • m∠IHJ + m∠IJH = 90°

Then find the missing angle measure:

  • 42° + m∠IJH = 90°
  • m∠IJH = 90° - 42°
  • m∠IJH = 48°

The matching choice is B.

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