The angle measurements in the diagram are represented by the following expressions. \qquad \blueD{\angle A} = \blueD{8x +6 ^\circ}∠A=8x+6 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 6, degrees, end color #11accd \qquad \green{\angle B} = \green{4x +38^\circ}∠B=4x+38 ∘
Answers
Step-by-step explanation:
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Complete question:
The angle measurements in the diagram are represented by the following expressions. ∠A = 8x + 6 and ∠B = 4x + 38 Solve for x and then find the measure of ∠B
Answer:
The value of x is 8 and the value of ∠B is 70 degree
Step-by-step explanation:
Parallel lines:
- Parallel lines that are parallel to one another on a plane do not intersect or meet at any point.
- They are always equidistant from one another and parallel.
- Non-intersecting lines are parallel lines.
- Parallel lines can also be said to meet at infinity.
From the given diagram
According to the parallel line, the offset angle is equal and the opposite vertex angle is equal.
∠A = ∠B
∠A = 8x + 6
∠B = 4x + 38
Equate both the angles value
∠A = ∠B
8x + 6 = 4x + 38
Find the value of x,
8x - 4x = 38 - 6
4x = 32
x = 8
Sub the value of x in 4x + 38
⇒ 4x + 38
⇒ 4 (8) + 38
⇒ 32 + 38
⇒ 70
∠B = 70 degree
Final answer:
The value of x is 8 and the value of ∠B is 70 degree
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