Questions: En la figura, ¿cuál es el valor de x? a) 60° b) 66° c) 72° d) 70° e) 45°

Transcript text: En la figura, ¿cuál es el valor de x ? a) $60^{\circ}$ b) $66^{\circ}$ c) $72^{\circ}$ d) $70^{\circ}$ e) $45^{\circ}$

Solution

Solution Steps

Step 1: Identify the known angles

In the given figure, we know one of the angles is 136°.

Step 2: Calculate the adjacent angle

Since the sum of angles on a straight line is 180°, the adjacent angle to 136° is: \[ 180° - 136° = 44° \]

Step 3: Use the triangle angle sum property

The sum of the angles in a triangle is always 180°. Let the unknown angle be $ x $. The other two angles in the triangle are 44° and 58° (since the angle adjacent to 136° is 44° and the other angle is given as 58°).

\[ x + 44° + 58° = 180° \]

Step 4: Solve for $ x $

\[ x = 180° - 44° - 58° \] \[ x = 78° \]

Final Answer

The value of $ x $ is 78°, but this is not one of the given options. Therefore, there might be a mistake in the problem or the options provided.

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