Answer:
65°
Step-by-step explanation:
From the figure we can see a circle.
It is given that, measure of arc AD = 80° therefore m<ACD = 80/2 = 40°
Also m<D = 75°
<u>To find the measure of <DCQ</u>
We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.
Here m<DCQ = m<CAD
By using angle sum property,
m<CAD + m<ACD + m<D = 180
m<CAD + 40 + 75 = 180
m<CAD + 115 = 180
m<CAD = 180 - 115 = 65°
Therefore m<DCQ = m< CAD = 65°
The correct answer is third option.
Answer:
Step-by-step explanation:
It’s 180°. The sum of the angles in a triangle is ALWAYS 180°.
Step-by-step explanation:
its A 10-year-old has the same average resting heart rate as a 20-year-old
hope it helps!
Answer:
33 inches
Step-by-step explanation:
x=length of board
x+2x=99
3x=99
x=33
Answer:
The question is incomplete. It can be found in search engines. However, kindly find the solution below:
Let us first define what an intersecting coed is:
The intersecting chords theorem says that if two chords intersect inside a circle, then the measure of the angle produced is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
First of all we will add the 2 angles
37° + 25°= 62°
The answer for that would be 62.
Now referring back to the theorem of intersecting cords that if two chords intersect inside a circle, then the measure of the angle produced is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Then, moving forward,
we will take half of that which is 62/2
It would give us 31
So angle 1 would be equal to 31
Hence,
m<1 = 1/2 x (37+25)
m<1 = 31°
So the answer for this question is 31°
