Answer:
Step-by-step explanation:
range?
Answer:
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Step-by-step explanation:
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Answer:
1. 180
2. x = 31
Step-by-step explanation:
1. the sum of the interior angles of every triangle is always 180
2. using what we know from problem 1, we can create an equation:
x + 10 + 2x - 5 + 2x + 20 = 180
add like terms: 5x + 25 = 180
subtract 25 from both sides: 5x = 155
divide both sides by 5: x = 31
For this case, the first thing you should know is that by definition, the vertical angles are congruent.
We have then:
∠1 and ∠2 are vertical angles.
Therefore, by definition:
∠1 = ∠2
On the other hand we have:
∠2 has a measure of 31 °.
Thus:
∠1 = ∠2 = 31 °
Answer:
the measure of ∠1 is:
∠1 = 31 °
