Math, asked by tnjha24, 5 hours ago

Step by step answer please​

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Answered by nikhiljha1209
0

Answer:

1 yes it is parrelel 2 a =110 b=70 c =70

Answered by Ayushsf2hindustan
6

Answer:

\huge\red{SO}\pink{LU}\orange{T}\green{I}\blue{O}\red{N}

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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