Questions: Determine the value of z.

Determine the value of z.
Transcript text: Determine the value of $z$.
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Solution

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Solution Steps

Step 1: Identify the given angles

The given angles in the triangle are 34° and 87°.

Step 2: Calculate the third angle of the triangle

The sum of the angles in a triangle is always 180°. Therefore, the third angle can be calculated as: \[ 180° - 34° - 87° = 59° \]

Step 3: Determine the value of z

The angle z is the exterior angle to the third angle of the triangle. The exterior angle is equal to the sum of the two non-adjacent interior angles. Therefore: \[ z = 34° + 87° = 121° \]

Final Answer

\[ \boxed{121°} \]

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