Question

14. Find the value of <A in the following figure.​

Answer 1

Answer:

by linear pair, find the inner angles of triangles

60° + 75 + A= 180 ( angle sum property of ∆)

so, A= 45°

Answer 2

Answer :

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To find :

• ∠BAC

Solution :

• First we need to find the interior angles B and C. Then using Angle Sum Property we can find ∠A

→ ∠B = 180° – 120° = 60°　( Linear Pair )

→ ∠C = 180° – 105° = 75°　( Linear Pair )

∴ ∠A = 180° – ( ∠B + ∠C )　( Angle Sum Property )

→ ∠A = 180° – ( 60° + 75° )

→ ∠A = 180° – 135°

→ ∠A = 45°

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∴ Required Answer :

• ∠A = 45°