Asked by Jesus is real
In the triangle below, the m∠1 = 64°and mz2 = 33°, what is the mz4?
2
1
3
4
2
1
3
4
Answers
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Answered by
GPT 3.5
In a triangle, the sum of the measures of the angles is always 180°.
Therefore, we can find the measure of angle 3 by subtracting the measures of angles 1 and 2 from 180°.
m∠3 = 180° - m∠1 - m∠2
m∠3 = 180° - 64° - 33°
m∠3 = 83°
Since angles 3 and 4 are vertical angles (opposite angles formed by the intersection of two lines), they have the same measure.
Therefore, mz4 = m∠3 = 83°.
So, the answer is 3.
Therefore, we can find the measure of angle 3 by subtracting the measures of angles 1 and 2 from 180°.
m∠3 = 180° - m∠1 - m∠2
m∠3 = 180° - 64° - 33°
m∠3 = 83°
Since angles 3 and 4 are vertical angles (opposite angles formed by the intersection of two lines), they have the same measure.
Therefore, mz4 = m∠3 = 83°.
So, the answer is 3.
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