Question

Line X and Y are parallel lines crossed by transversal, t if angle 1 equals (4x-28) and angle 2 equals (x+68) then find the measure of angle 1 and angle 2. please show step by step instruction .

Answer 1

Answer:A

: 4x-28= X+68 corresponding angles are congruent

-X. = -X

3x-28=68

+28=+28

3x= 96

Divide by 3

X= 32. 4x-28

Angle 1 = 4(32)-28 128-28=100

X+68

Angle 2= 32+68=100

Answer 2

Answer: option A is the correct answer

Step-by-step explanation:

Since line X is parallel to line Y, it means that angle 1 and angle 2 are corresponding angles. Since corresponding angles are congruent or equal, it means that

4x - 28 = x + 68

Adding 28 to the left hand side and the right hand side of the equation, it becomes

4x - 28 + 28 = x + 68 + 28

4x = x + 96

Subtracting x from both sides of the equation, it becomes

4x - x = x - x + 96

3x = 96

Dividing both sides of the equation by 3, it becomes

3x/3 = 96/3

x = 32

Therefore,

Angle 1 = 4x - 28 = 4 × 32 - 28 = 100 degrees

Angle 2 = x + 68 = 32 + 68 = 100 degrees