Answer:
<h3>B. 16°</h3>Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
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
