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2. Find the measures of 1,2 and 3 respectively,if two intersect and 4 measures 105°.​

2 Find The Measures Of 12 And 3 Respectivelyif Two Intersect And 4 Measures 105 class=

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[tex] \large\underline \bold{{SOLUTION}}[/tex]

Notice that vertical angles are equal.

[tex]\sf{\angle{1} = \angle{3}}[/tex]

[tex]\sf{\angle{2} = \angle{4}}[/tex]

  • The lines are supplementary or sum is 180°

[tex]\longmapsto\sf{\angle{1}+\angle{4}=180}[/tex]

[tex]\longmapsto\sf{\angle{1}+\angle{105}=180}[/tex]

[tex]\longmapsto\sf{\angle{1}=180-105}[/tex]

[tex]\longmapsto\sf{\angle{1}=75°}[/tex]

Therefore ,

[tex] \large\underline{ \bold{ANSWER}}[/tex]

[tex]\sf{\angle{1} =75°}[/tex]

[tex]\sf{\angle{3}=75°}[/tex]

[tex]\sf{\angle{2}=105°}[/tex]

[tex]\sf{\angle{4}=105°}[/tex]