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When Two Lines Intersect as in the Illustration Below, Four 1\angle 1

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When two lines intersect as in the illustration below, four angles are formed. Angles that are side-by-side, such as 1\angle 1 and 2\angle 2 , are called adjacent angles. Angles that are nonadjacent, such as 1\angle 1 and 3\angle 3 or 2\angle 2 and 4\angle 4 , are called vertical angles. From geometry, we know that if two lines intersect, vertical angles have the same measure. If m(1) =(5x+10) m ( \angle 1 ) = ( 5 x + 10 ) ^ { \circ } m(1) =(5x+10) m ( \angle 1 ) = ( 5 x + 10 ) ^ { \circ } and m(3) =(7x10) m ( \angle 3 ) = ( 7 x - 10 ) ^ { \circ } , find x . Read m(1) m ( \angle 1 ) as "the measure of 1\angle 1 ".  When two lines intersect as in the illustration below, four angles are formed. Angles that are side-by-side, such as  \angle 1  and  \angle 2  , are called adjacent angles. Angles that are nonadjacent, such as  \angle 1  and  \angle 3  or  \angle 2  and  \angle 4  , are called vertical angles. From geometry, we know that if two lines intersect, vertical angles have the same measure. If  m ( \angle 1 )  = ( 5 x + 10 )  ^ { \circ }   m ( \angle 1 )  = ( 5 x + 10 )  ^ { \circ }  and  m ( \angle 3 )  = ( 7 x - 10 )  ^ { \circ }  , find x . Read  m ( \angle 1 )   as  the measure of  \angle 1   .   A) x = 11 B) x = 15 C) x = 6 D) x = 8 E) x = 10

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