The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of
2 answers:
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You can use the law of Cosines to solve an SSS triangle.
a = 13
b = 21
c = 29
Lets find A first:
Now lets find B
Since we know A and B we can use
C = 180 - A - B to find C
C = 180 - A - B
C = 180 - 23.96509 - 41.0059
C = 115.0291
A = 23.9650
B = 41.0059
C = 115.0291
Round to nearest tenths.
A = 24.0
B = 41.0
C = 115.0
a = 13
b = 21
c = 29
Lets find A first:
Now lets find B
Since we know A and B we can use
C = 180 - A - B to find C
C = 180 - A - B
C = 180 - 23.96509 - 41.0059
C = 115.0291
A = 23.9650
B = 41.0059
C = 115.0291
Round to nearest tenths.
A = 24.0
B = 41.0
C = 115.0
Answer: The correct option is 1 and measure is 40.
Explanation:
It is given that points A, B, and C are on line AC. Angle CBD has a measure of 140°.
Draw a diagram using given information,
From the figure it is noticed that the angle CBD and angle ABD are lies on straight line and lies on the same arc. So, the angle CBD and angle ABD are supplementary angles and their sum is 180 degree.
Therefore, the correct option is 1.
