Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
________________________
given
one angle is b
let other angle be x
given that angle b is one-half the measure of its complement
thus, mathematically we can the above statement as
b = 1/2(x)
now sum of both the angle will be 90 degrees as they are complementary
b + x = 90
using b = 1/2(x)
=> 1/2(x) + x = 90
=> x/2 + x = 90
=> (x +2x)/2 = 90
=> 3x = 180
=> x = 180/3 = 60
thus,
b = 1/2(x) = 1/2(60) = 30
thus, measure of angle b is 30 degrees.
Given:
Measure of arc UV is 56 degrees.
The measure of arc QW is 132 degrees.
To find:
The measure of angle VPW.
Solution:
Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using the intersecting chords theorem, we get
Substituting the given values, we get
Now,
[Linear pair]
Therefore, the measure of angle VPW is .
Answer:
(a) 1/2
Step-by-step explanation:
The coordinates of the point of intersection of the terminal side of angle α with the unit circle are ...
(x, y) = (cos(α), sin(α))
When α = 60°, the x-coordinate of the terminal point is cos(60°) = 1/2.
4 / 6 = 28 / 42 ;
6 / 7 = 36 / 42 ;
But, 36 > 28 ;
36 / 42 > 28 / 42 ;
6 / 7 > 4 / 6 ;
6 / 7 is larger than 4 / 6 ;