Step-by-step explanation:
for the relationship of lengths of internal chords the product of both segments of a chord is equal for all intersecting chords.
in our case
(x+8)×8 = 7×16 = 112
8x + 64 = 112
8x = 48
x = 6
so, D-F = x + 8 = 6 + 8 = 14
so, C is correct
Answer:
a) <u>∡ADC = 270°</u>
b) <u>∠DAE = 38°</u>
Step-by-step explanation:
Using Inscribed Angle Theorem :
- ∡ADC = 2 x ∠ABC
- ∡ADC = 2 x 135°
- <u>∡ADC = 270°</u>
Similarly :
- ∠DAE = 1/2 x ∡DE
- ∠DAE = 1/2 x 76°
- <u>∠DAE = 38°</u>
The answer is 46 for the perimeter
