Sam draws three pairs of vertical angles and measures them. What is a reasonable conjecture for Sam to make by recognizing a pat
tern and using inductive reasoning?
a) Vertical angles are supplementary.
b) Vertical angles are congruent.
c) Vertical angles are complementary.
d) Vertical angles are acute.
a) Vertical angles are supplementary.
b) Vertical angles are congruent.
c) Vertical angles are complementary.
d) Vertical angles are acute.
2 answers:
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Answer: The measure of angle 3 is 50 degrees.
Step-by-step explanation:
We know that angle 2 is 130 degrees.
Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.
So angle 1 and angle 2 are 130 degrees.
Add up both angle 1 and angle 2, 130 + 130 = 260.
Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.
Subtract 260 from 360, 360 - 260 = 100.
Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.
So, angle 3 is 50 degrees.
