Answer:
114°
Step-by-step explanation:
<h2><u>Find the angle </u></h2>
looking at the picture we can notice that the angle are lying on the same plane and are therefore regarded as corresponding angles. this is due to the fact that they are formed when a line intersects with a pair of parallel lines.
corresponding angles mean:
<em>angle A = angle B</em>
6x + 12 =3x + 63
make x the subject of formula:
6x - 3x = 63 - 12
3x = 51
x = 51/3
<u>x = 17°</u>
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<h3><em><u>To find the angle A </u></em></h3>
place the value of x into the equation and solve :
A = 6x + 12
= 6(17) + 12
= 114°
<h3><u>the angle A is 114°</u></h3>
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