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1 yes it is parrelel 2 a =110 b=70 c =70
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Question 1
Two interior angles on the same sides of the transversal measure (a - 6)° and (5a - 6)°. Find the measure of each angle
ans.
(a - 6)° + (5a - 6)° = 180° (Angles of the same side of transversal measure 180°)
= 6a - 12 = 180°
= 6a = 180° + 12
= 6a = 192°
Hence, (a - 6)° = 32 - 6 = 36°,
(5a - 6)° 160° - 6° = 154° ans.
Question 2
In the figure below, prove that CD | | EF.
ans.
/ CDA = 36° , / DAB = 36° + 50° = 86°
In parallel lines, alternate angles are equal
/ CDA = / DAB = 86° => CD | | AB (1)
In parallel lines, adjacent angles are supplementary
- / FEA = 180° - / EAB
- / FEA + / EAB = 180° => AB | | EF (2)
From (1) and (2) ; CD | | EF
- Hence, proved that CD | | EF.
Have an nice day ahead !!!
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