In the given figure, the arms of two angles are parallel.

If ∠ABC = 70°, then find

(i) ∠DGC

(ii) ∠DEF

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Solution

(i) Consider that AB|| DG and a transversal line BC is intersecting them.

∠DGC = ∠ABC (Corresponding angles)

∠DGC = 70°

(ii) Consider that BC|| EF and a transversal line DE is intersecting them.

∠DEF = ∠DGC (Corresponding angles)

∠DEF = 70°

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∠ A B C = 70^{\circ}

∠ D G C

Question 5 (i)
In the given figure, the arms of two angles are parallel. If $Δ A B C = 70^{\circ}$ , then find: $∠ D G C$

∠ A B C = 70^{o}

(i)

∠ D G C

(i i)

∠ D E F

I f ∠ A B C = 70^{\circ},

∠ D G C

∠ D E F

∠ A B C = 70^{\circ}

∠ D G C

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