Questions: 79° 64° 60° 120° 80° 80° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 69° 26° 63° 100° 120° 100° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 119° 99° 81° 78° 72° 48° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 19° 39° 91° 102° 78° 103° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 71° 39° 66° 77° 81° 102° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 99° 89° 73° 37° 37° 57° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 81° 111° 78° 109° 56° 114° ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑ 103° 71° 63° 71° 73° 89° ↓ ↓ ↓ ↓ ↓ ↓ 66° 67° 99° 107° 47°

79° 64° 60° 120° 80° 80°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
69° 26° 63° 100° 120° 100°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
119° 99° 81° 78° 72° 48°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
19° 39° 91° 102° 78° 103°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
71° 39° 66° 77° 81° 102°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
99° 89° 73° 37° 37° 57°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
81° 111° 78° 109° 56° 114°
↓↑ ↓↑ ↓↑ ↓↑ ↓↑ ↓↑
103° 71° 63° 71° 73° 89°
↓ ↓ ↓ ↓ ↓ ↓
66° 67° 99° 107° 47°
Transcript text: \[ \begin{array}{ccccccc} 79^\circ & 64^\circ & 60^\circ & 120^\circ & 80^\circ & 80^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 69^\circ & 26^\circ & 63^\circ & 100^\circ & 120^\circ & 100^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 119^\circ & 99^\circ & 81^\circ & 78^\circ & 72^\circ & 48^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 19^\circ & 39^\circ & 91^\circ & 102^\circ & 78^\circ & 103^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 71^\circ & 39^\circ & 66^\circ & 77^\circ & 81^\circ & 102^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 99^\circ & 89^\circ & 73^\circ & 37^\circ & 37^\circ & 57^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 81^\circ & 111^\circ & 78^\circ & 109^\circ & 56^\circ & 114^\circ \\ \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow & \downarrow \uparrow \\ 103^\circ & 71^\circ & 63^\circ & 71^\circ & 73^\circ & 89^\circ \\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\ 66^\circ & 67^\circ & 99^\circ & 107^\circ & 47^\circ \\ \end{array} \]
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Solution

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Solution Steps

Step 1: Identify the starting point
  • The starting point is marked with "Start" in the top right corner.
Step 2: Understand the problem
  • Each box contains an equation involving \( x \) and an angle.
  • The goal is to find the value of \( x \) in each box and follow the path indicated by the arrows.
Step 3: Solve the first box
  • The first box has the equation \( x + 80^\circ = 180^\circ \).
  • Solve for \( x \): \[ x = 180^\circ - 80^\circ = 100^\circ \]

Final Answer

  • The value of \( x \) in the first box is \( 100^\circ \).
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