Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. is parallel to , an
d is perpendicular to . The number of 90° angles formed by the intersections of and the two parallel lines and is .
1 answer:
Answer:
The question is not complete, below is a complete question with the accompanying diagram:
Instructions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EF is perpendicular to AB
The number of 90° angles formed by the intersections of Ef and the two parallel lines AB and CD is ____
Answer:
The number of 90° angle formed = 8 angles
Step-by-step explanation:
From the question and attached diagram, the following information is given:
AB is parallel to CD
EF is perpendicular to AB
Required: number of 90° angles formed by the intersection of the perpendicular line and the parallel lines.
<em>Note, the angle formed between a line and a perpendicular line = 90°</em>
From the diagram:
Number of 90° angle formed by intersection of perpendicular line EF and line AB = ∠1, ∠2, ∠3 and ∠4 = 4 angles
Number of 90° angle formed by intersection of perpendicular line EF and line CD = ∠5, ∠6, ∠7 and ∠8 = 4 angles
Total 90° angles formed by perpendicular line with lines = ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 = 8 angles
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Answer:
Step-by-step explanation:
Given:
Solution:
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Simplifying using PEMDAS:
Done!