Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and
.
To find:
The
.
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[Alternate interior angles]


In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
The base angles of an isosceles triangle are congruent. So,
[Base angles of an isosceles triangle]


Using the angle sum property in triangle AOB, we get





Hence, the measure of angle AOB is 120 degrees.
Answer:
1800
Step-by-step explanation:
Given in the question a polygon of 12 sides
Formula to calculate sum of interior angles of 12-gon is
<h3> (n – 2)180</h3>
where n is the number of sides
which in this case = 12
plug values in the formula above
(12 - 2)180
12*180 - 180(2)
2160 - 360
1800
Sum of measurements of the interior angles of a 12sided polygon is 1800
6 6/15 because if you multiply the mixed number first then multiply the fraction
<span>First figure out how
many people there are all together. So mrs and mr is 2 there three
children so 2+3=5 so next round 179 to 200 and multiply 200x5. To do
that you can use the mental math way witch would be to take the whole
number out of 200 and make it 2. Then take the 5 in 200x5 and multiply
2x5. Then add the 2 zeros there were. And your estamated answer would be
1,000.
2+3=5
179=200
200x5
2x5=10
1,000
To figure out your real answer you will have to take 179 and multiply it by 5 so it will look like this:
34
179
x
5
895
Soto conculde the answer would be:
Estamated: $1,000
Exact: $895
Hope this helps!</span>
Answer:
sorry man or man drawing a little more about the job than the rest on any of these