Q. 4 A5.0( 1 Vote )

# Compute all angles of each of the figures below:

Answer :

Let us name the vertices of the triangle.

∠ ABC + ∠ ABD = 180°

⇒ ∠ ABC + 145° = 180°

⇒ ∠ ABC = 180° - 145°

⇒ ∠ ABC = 35°

In Δ ABC,

∠ A + ∠ B + ∠ C = 180°

⇒ ∠ A + 35° + 70° = 180°

⇒ ∠ A + 105° = 180°

⇒ ∠ A = 180° - 105°

⇒ ∠ A = 75°

∠ CAF + ∠ CAB = 180°

⇒ ∠ CAF + 75° = 180°

⇒ ∠ CAF = 180° - 75°

⇒ ∠ CAF = 105°

∠ BCE + ∠ BCA = 180°

⇒ ∠ BCE + 70° = 180°

⇒ ∠ BCE = 180° - 70°

⇒ ∠ BCE = 110°

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