Solve the following equation, and check your solution. Be sure to show all work
1 answer:
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Considering the given <em>information</em> in the question, the value of x is , and that of y is
.
A <u>transversal</u> is a <em>line</em> that <em>cuts</em> through two given parallel lines. Thus it i<em>ntersects</em> each parallel line at a point, forming <u>four</u> angles each.
From the given <em>information</em> in the question, it can be <em>inferred</em> that:
the given<u> bottom</u> right angle of the first<em> intersection</em> and the bottom right angle with the <em>second intersection</em> are <u>congruent </u>(corresponding angle property).
So that,
=
=
-
=
............ 1
Also given that the top <em>right angle</em> at the<u> second</u> intersection is a <em>right </em>angle, then;
+
=
(sum of angles on a straight line)
This implies that;
=
-
=
So that,
y =
y =
Thus substituting the value of y in equation 1, we have;
=
........ 1
= 8(7.5)
5x = 60
x =
x =
Therefore, x = and y =
For more clarification on a transversal of two parallel lines, check: brainly.com/question/1751268
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