Consider the diagram below. Which of the following statements is correct?
2 answers:
Answer:
A
Step-by-step explanation:
The diagram shows two parallel lines XY and WV.
1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.
2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.
AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
So, by AA similarity
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Answer:
x = 19
Step-by-step explanation:
Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is
=
, substitute values
=
( cross- multiply )
22.5(x - 9) = 225 ( divide both sides by 22.5 )
x - 9 = 10 ( add 9 to both sides )
x = 19