Angles 5 and 6 are not congruent because they are on the same line, so the answer is I
Assuming the size of the whole remains constant, as you divide the whole into more pieces, each piece must be smaller. For example, when a whole is divided into four pieces vs nine pieces, 1/4 of the whole is larger than 1/9 of a whole.
Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
Answer:
X = 25, Angles are 65 degrees
Step-by-step explanation:
3x-10 = x+40
2x=50
x=25
Answer:
214 miles
Step-by-step explanation:
To find the difference between miles already traveled and total miles you need to travel, you subtract ...
345 miles - 131 miles = 214 miles
You must travel 214 more miles to complete your 345 mile journey.
