After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is
divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?
1 answer:
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<u>Answer:</u>
- The value of ∠TMV is 45°.
<u>Step-by-step explanation:</u>
<u>We know that:</u>
- ∠VTM + ∠TMV + ∠MVT = 180°
- ∠VTM = 92
- ∠MVT = 43
<u>Work:</u>
- ∠VTM + ∠TMV + ∠MVT = 180°
- => 92 + 43 + ∠TMV = 180°
- => 135 + ∠TMV = 180°
- => ∠TMV = 180 - 135
- => ∠TMV = 45°
Hence, <u>the value of ∠TMV is 45°.</u>
Hoped this helped.