In figure line AB|| line DE find the measures of angle DRE angle ARE
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Step-by-step explanation:
AB || DE and AD is a transversal line.
ZBAR= <RDE = 70°
(Alternate angles)
In A DER
<D + LE + <DRE = 180° (Angle sum property)
70° +40° + <DRE = 180°
110° + <DRE = 180°
→ <DRE = 70°
Now, ZARE = <DRE + <RDE (Exterior angle
property)
= 70° + 40°
= 110°
Hence, the measures of <DRE and ZARE are 70° and 110° respectively.
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