Write an equation to represent the corresponding relationship between angle A and angle B, Use the equation to find the measures of angle

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Write an equation to represent the corresponding relationship between angle A and angle B, Use the equation to find the measures of angle

In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, angles A and B, are corresponding angles. For the set of parallel lines intersected by a transversal, angle A=4x and B=-5(x-18).

  • Part A: Write an equation to represent the corresponding relationship between angle A and angle B. 
  • Part B: Use the equation to find the measures of angle A and B. 

Write an equation to represent the corresponding relationship between angle A and angle B, Use the equation to find the measures of angle
Answer:
Correspondent angles are angles in parallel lines, intersected by a transversal and they are equivalent.
 
Part A:
Equation is: A=B
4 x = -5 ( x - 18)

Part B:
We solve this equation:
4 x = -5 x+ 90
4 x + 5 x = 90
9 x = 90
x = 90: 9 = 10  (degrees)

Measure of angle  A = 4 * 10 = 40 ( degrees )
Measure of angle  B= -5 ( 10 - 18 ) = (-5 ) * (-8 ) = 40 ( same as angle A)



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