024 Line AC line DE and ABD = 32. Find the measures of the angles x, y and i BEF 122. Also write the properties used for calculating these angles 13 marks
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Answer:
∠ABD=32
o
and
line AC ∣∣ line DE
∴ ∠y and ∠ABD are supplementary angles.
Sum of supplementary angles is 180
0
∴y+∠ABD=180
0
∴y+32
0
=180
0
∴y=148
0
Also, ∠ABE and ∠E are alternate angles .
Alternate angles formed by parallel lines are congruent.
∴∠ABE=∠E
∴∠ABD+∠DBE=122
0
∴32
0
+x=122
0
∴x=90
0
Step-by-step explanation:
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