Given that lines a and b are parallel and that m∠6 = 65°, find m∠3.
2 answers:
Answer: The correct option is (B) 65°.
Step-by-step explanation: Given that the lines a and b are parallel and m∠6 = 65°.
We are to find the measure of angle 3.
From the figure, we note that
parallel lines a and b are cut by a tranversal. So, angle 2 and angle 6 are corresponding angles.
This implies that
Now, angle 2 and angle 3 are vertically opposite angles and so their measures should be equal.
That is,
Thus, the measure of angle 3 is 65°.
Option (B) is CORRECT.
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The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
<h3>What is probability?</h3>It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The probability of H is 2/3 and the probability of T is 1/3.
P(HT) = P(H in the first trial)P(T in the second trial)
From the tree diagram:
P(HT) = (2/3)(1/3) = 2/9
Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
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