Angle Calculations
Question 1
Given: ∠A₁ = ∠A₂ = ∠A₃ = 20°, and at E it is marked 75°
Use the information in the diagram to calculate the angles:
a.
∠ADE =
°
✓ Correct!
b.
∠ACD =
°
✓ Correct!
c.
∠ABC =
°
✓ Correct!
Question 2
Use the information in the diagram to calculate the angles:
a.
∠CAD =
°
✓ Correct!
b.
∠ABE =
°
✓ Correct!
c.
∠BFD =
°
✓ Correct!
d.
∠DFE =
°
✓ Correct!
Question 3
Given: Isosceles triangle AB = AC, base angles 64°
AK bisects ∠DAC
a.
∠BAC =
°
✓ Correct!
b.
∠DAC =
°
✓ Correct!
c.
∠KAC =
°
✓ Correct!
d. Prove: BC || AK
∠KAC = ∠ACB = 64°
Alternate interior angles are equal → lines are parallel
Alternate interior angles are equal → lines are parallel