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4 find the angle measure. $angle 7$ and $angle 8$ are a linear pair, an…

Question

4 find the angle measure. $angle 7$ and $angle 8$ are a linear pair, and $mangle 7 = 109^circ$. find $mangle 8$. $mangle 8 = square^circ$

Explanation:

Step1: Recall linear pair property

Linear pair angles sum to $180^\circ$.

Step2: Set up angle sum equation

$m\angle7 + m\angle8 = 180^\circ$

Step3: Substitute known angle value

$109^\circ + m\angle8 = 180^\circ$

Step4: Solve for $m\angle8$

$m\angle8 = 180^\circ - 109^\circ$

Answer:

$71^\circ$