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Line I is parallel to line m. If the measure of <6 is 75^ what is the measure of <3

Line I is parallel to line m. If the measure of <6 is 75^ what is the measure of <3
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Line I is parallel to line m. If the measure of <6 is 75^ what is the measure of <3

Line I is parallel to line m. If the measure of <6 is 75^ what is the measure of-example-1
User RedCrusador
by
8.4k points

1 Answer

4 votes

Solution:

Given;


m\angle6=75^o

Thus;


\begin{gathered} m\operatorname{\angle}8+m\operatorname{\angle}6=180^o.............\text{ Sum of angles on a straight line} \\ \\ m\operatorname{\angle}8=180^o-75^o \\ \\ m\operatorname{\angle}8=105^o \\ \end{gathered}

Then;


m\operatorname{\angle}8=m\operatorname{\angle}3...........\text{ Corresponding angles are equal}

Thus;


m\operatorname{\angle}3=105^o

Line I is parallel to line m. If the measure of <6 is 75^ what is the measure of-example-1
User Carlos Andres
by
8.2k points
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