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:
A
Step-by-step explanation:
And obtuse angle is greater than 90°
Answer: 250 m
Step-by-step explanation:
Given
Distance between Ursula and Velda house is 4 km or 4000 m
Ursula walks at the rate of 
Velda walks at the rate of 
Time taken by them to cover 4000 m is

Distance covered by them 15 min before they meet
Ursula 
Velda 
The total length covered by them is 
They are
apart before they meet