Answers
Angles 2,3,6,7 are congruent which means they also equal 109
*** angles 1,4,5,8 = 71
Angles 2,3,6,7 = 109***
The measure of the other 7 angles are;
m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8 = 71°; m∠6 = m∠7 = 109°
We are given;
m∠1 = 71°
Thus;
m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°
Thus; m∠1 + m∠2 = 180°
71 + m∠2 = 180°
m∠2 = 180 - 71
m∠2 = 109°
Now, m∠2 and m∠3 are alternate angles and as such;
m∠2 = m∠3
Thus; m∠3 = 109°
Similarly,
m∠1 and m∠4 are alternate angles and as such;
m∠1 = m∠4
Thus;
m∠4 = 71°
m∠1 and m∠5 are corresponding angles and as such;
m∠1 = m∠5
Thus;
m∠5 = 71°
m∠2 and m∠6 are corresponding angles and as such;
m∠2 = m∠6
Thus;
m∠6 = 109°
Similar to how angles were gotten earlier, we can say that;
m∠5 = m∠8 = 71°
and m∠6 = m∠7 = 109°
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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