Find the measure of a. A. 60 B. 57 C. 40 D. 80
1 answer:
Answer:
Option (C)
Step-by-step explanation:
Since angle 'a' is the inscribed angle of the given triangle
Therefore, angle measure of the intercepted arc will be equal to the double of the inscribed angle.
x = 2a ⇒ a =
By the tangent-chord theorem,
"Angle between a chord and tangent measure the half of the angle measure of intercepted minor arc"
= 40°
Therefore, a = = 40°
Option (C) will be the answer.
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The missing coordinates of the parallelogram is (m + h, n).
Solution:
Given shape is a parallelogram.
Construction: Draw a line joining the diagonals.
<em>In parallelogram, diagonals bisect each other.</em>
Solve it using mid-point formula:
Here
Using this midpoint find the missing coordinate.
Let the missing coordinates by x and y.
Here
Now equate the x-coordinates and y-coordinates.
Multiply by 2 on both sides of the equation, we get
m + h = x, n = y
x = m + h and y = n
Hence the missing coordinates of the parallelogram is (m + h, n).