Math, asked by raju777836, 5 months ago

plzz answer this question don't cheat ​

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Answered by khashrul
1

Answer:

2. (g) x = 60°, y = 120°

2. (h) a = 100°,  b = 50°

3. a = b = 116°

4. a = b = 120°

Step-by-step explanation:

2. (g) x = 60°  [∵ they are alternate interior angles].

The other two angles of this triangle are equal  [∵ the opposite sides are equal]

And if they measure z, then the sum of the angles of the triangle:

x + 2z = 180°

=> 60° + 2z = 180°

=> 2z = 180° - 60° = 120°

∴ z = 60°

∴ y = 180° - z = 180° - 60° = 120°

2. (h) b = 50°  [∵ the opposite sides are equal]

a = b + 50°  [∵ a is exterior angle of the triangle]

= 50° + 50° = 100°

3. In ΔABC, AB = BC

∠BAC = ∠ACB  [∵ the opposite sides are equal]

∴ b = a  [∵ they are supplementary angle of equal angles]

Now, the sum of the angles of the triangle:

∠ABC + ∠BAC + ∠ACB = 180°

=> 54° + 2∠BAC = 180°

=> ∠BAC = (180° - 54°)/2 = 128°/2 = 64°

b = 180° - ∠BAC = 180° - 64° = 116° = a

4. ABC is an equilateral triangle.

∴ a = b = 180° - 60° = 120°

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