Answer:
11
Step-by-step explanation:
Answer:
x = 72
Step-by-step explanation:
By exterior angle theorem:
x° + (x + 10)° = 154°
(x + 10 + x) ° = 154°
(2x + 10)° = 154°
2x + 10 = 154
2x = 154 - 10
2x = 144
x = 144/2
x = 72
70-35 I believe that’s write
In the given figure above, we can use the formula for tangent-tangent angle. This is under the type of angle whose vertex is outside the circle and its sides intersects the circle.
Applying the tangent-tangent angle formula:
m∠APB =
(ALB - AB)
m∠APB = angle of the vertex
ALB = measure of arc ALB
AB = measure of arc AB
we all know that the total measure of arc is equal to 360, hence, ALB + AB = 360
let: x = measure of arc AB
360 - x = measure of arc ALB
substitute:
78 =
{(360 - x) - x}
78 =
(360 - 2x)
78 = 180 - x ⇒ simplifying further by dividing both 360 and -2x by 2
x = 180 - 78 ⇒ combining like terms
x = 102
arc AB = 102 ⇒ Answer