The arc angle AC is measured as 55 degrees.
<h3>How to find arc angle?</h3>
If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.
Therefore, the secants intersect outside the circle at point E.
The arc angle AC can be found as follows:
Therefore,
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
arc angle AC = x
arc angle BD = 23 degrees.
m∠BED = 16 degrees.
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
16 = 1 / 2 (x - 23)
16 = 1 / 2x - 23 / 2
16 + 11.5 = 0.5x
27.5 = 0.5x
x = 27.5 / 0.5
x = 55 degrees.
Therefore,
arc angle AC = 55 degrees.
learn more on arc angle here: hhttps://brainly.com/question/23117081
#SPJ1
If B is the midpoint of AC, then AB = BC.
We have AB = x + 5 and BC = 2x - 11.
Therefore we have the equation:
x + 5 = 2x - 11 <em>subtract 5 from both sides</em>
x = 2x - 16 <em>subtract 2x from both sides</em>
-x = -16 <em>change the signs</em>
x = 16
Put the value of x to the expression x + 5:
AB = 16 + 5 = 21
<h3>Answer: AB = 21</h3>
The correct answer is is the option B . X>0
Hopefully this help you
Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer: 5/4
Step-by-step explanation:
if two number have the same denominator, then the number with the greatest numerator is the greatest.
Basically if the bottom number of two fractions are the same, the bigger top number is the bigger number.
