plzz answer this question don't cheat
Answers
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°