In figure 3.10, line AB || line DE. Find the measures of ∠DRE and ∠ARE using given measures of some angles.
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Solution :
Given AB // DE , AD is the
transversal .
<BAD = 70°
1 ) <ADE = <BAD = 70°
[ Alternate angles ]
2 ) In ∆RDE ,,DR extended to A,
Exterior angle <ARE =<RDE+<RED
= 70° + 40°
= 110°
iii ) <DRE + <ARE = 180°
[ Linear pair ]
=> <DRE + 110° = 180°
=> <DRE = 180° - 110°
= 70°
••••
Given AB // DE , AD is the
transversal .
<BAD = 70°
1 ) <ADE = <BAD = 70°
[ Alternate angles ]
2 ) In ∆RDE ,,DR extended to A,
Exterior angle <ARE =<RDE+<RED
= 70° + 40°
= 110°
iii ) <DRE + <ARE = 180°
[ Linear pair ]
=> <DRE + 110° = 180°
=> <DRE = 180° - 110°
= 70°
••••
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