Liam is correct - The sum of the exterior angles of a polygon will always be 360.
Answer:
The measure of angle A = 65°
Step-by-step explanation:
The sum of opposite angles of cyclic quadrilateral is 180°
From the figure we can see that,quadrilateral ABCD is inscribed in a circle.
<u>To find the value of x</u>
m<B + m<D = 180°
x + 148 = 180
x = 180 - 148 = 32°
<u>To find the value of angle A</u>
m<A = 2x + 1
x = 32
m<A = 2*32 + 1 = 64 + 1 = 65°
Therefore the measure of angle A = 65°
Answer:
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Given:
In a circle, two chords AK and LJ intersect each other inside the circle at M.
Measure of arc AJ = 65 degrees.
Measure of arc KL = 85 degrees.
To find:
The measure of angle KML.
Solution:
Intersecting chords theorem: According to this 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 Intersecting chords theorem, we get
Therefore, the measure of angle KML is 75 degrees.
The distributive property is used when you have a value multiplied by 2 values separated by an operation.
For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.