Question

in triangle abc if ab equal to ac and angle b equal to 65degree then find angle c and angle a
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Answer 1

Given :

• AB = AC

• Angle B = 65°

To Find :

• Angle C and angle A

Solution :

★ Angle C = Angle B

→ Angle C = 65°

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 + 65° + 65° = 180°

→ ∠A + 130° = 180°

→ ∠A = 180° - 130°

→ ∠A = 50°

$\therefore$ Measurement of angle C = 65° and angle A = 50°.

Answer 2

Answer:

• AB = AC
• ∠B = 65°
• Find other Angles

• According to the Question :

⇒ AB = AC

⇒ ∠B = ∠C

• As angle opposite to equal sides are equal

∴ ∠B = ∠C = 65°

• Sum of all angles of triangle :

⇢ ∠A + ∠B + ∠C = 180°

• Putting value of ∠B & ∠C from above

⇢ ∠A + 65° + 65° = 180°

⇢ ∠A + 130° = 180°

⇢ ∠A = 180° - 130°

⇢ ∠A = 50°