If segment AB is a straight line then what is the value of a + b?
Its simple a+a+a+2a+b+2b = 180 ...........linear pair as AB is a straight line 5a + 3b = 180
4b + 2b = 180 .....linear pair 6b = 180 b = 30 So a = 18
a +b = 48
48 degrees a=18o b=30o
a+a+a+2a+b+2b =180, 5a+3b=180, 4b+2b=180, 6b=180, b=30, 5a+3(30)=180, 5a=90, a=18, so a+b=48.
In a semicircle, the circular segment ADB is folded along AB to make the circular segment ATB. The point T is tangent to the diameter and divides the diameter into lengths of 4 and 2. What is the length of AB?
In the given figure, if AB = AC, then what is the value of ∠ACB – ∠DBF?
A small circle is contained inside a quarter circle and tangent to one of its sides. A line segment is constructed to be tangent to the small circle and perpendicular to the other side of the quarter circle. If the line segment has length equal to 12, what is the area shaded in blue, equal to the area of the quarter circle minus the small circle?
A line segment of length 2 moves in the xy-plane such that it always touches both the coordinate axes (see the image below). Find the area of the region swept out by the line segment.
