IN TRIANGLE ABC , AB = AC AND ANGLE B = 45 DEGREE TRHEN ANGLE A IS

1.	IN TRIANGLE ABC , AB = AC AND ANGLE B = 45 DEGREE TRHEN ANGLE A IS
Answer» Given : • AB = AC • Angle B = 45° To Find : • Angle A SOLUTION : ★ Angle C = Angle B → Angle C = 45° Here angle C is equal to the angle B because Opposite angle of equal SIDES are always equal. Now, from Angle SUM PROPERTY : → ∠A + ∠B + ∠C = 180° → ∠A + 45° + 45° = 180° → ∠A + 90° = 180° → ∠A = 90° $\therefore$ Measurement of angle A = 90°

Answer»

Given :

• AB = AC

• Angle B = 45°

• Angle A

★ Angle C = Angle B

→ Angle C = 45°

Here angle C is equal to the angle B because Opposite angle of equal SIDES are always equal.

Now, from Angle SUM PROPERTY :

→ ∠A + ∠B + ∠C = 180°

→ ∠A + 45° + 45° = 180°

→ ∠A + 90° = 180°

→ ∠A = 90°

$\therefore$ Measurement of angle A = 90°

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