Answer:
∠3 = 60°
Step-by-step explanation:
Since g and h are parallel lines then
∠1 and ∠2 are same side interior angles and are supplementary, hence
4x + 36 +3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°
∠ 2 and ∠3 are alternate angles and congruent, hence
∠3 = 60°
The measure of angle 3 is 60 degrees, the correct option is B.
Given
In the diagram, g is parallel to h.
The measurement of angle 1 is (4x +36).
The measurement of angle 2 is (3x-3).
Interior angles;
The angles that lie in the area enclosed between two parallel lines that are intersected by a transversal are also called interior angles.
∠1 and ∠2 are the same side interior angles and are supplementary then the sum of both angles is equal to 180 degrees.
[tex]\rm 4x+36+3x-3=180\\\\7x+33=180\\\\7x=180-33\\\\7x=147\\\\x=\dfrac{147}{7}\\\\x=21[/tex]
The measure of the angle 2 is = 3(21)- 3= 63 - 6 = 60 degrees.
Hence, Angle 2 and ∠3 are alternate angles and congruent then the measure of angle 3 is 60 degrees.
To know more about Parallel lines click the link given below.
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