in the following figure find the value of x and y
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Answer:
The answer of B is x -60°, y -120°
The answer of C is x -90°
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Answer:
b.) x=60°
y=60°
Step-by-step explanation:
b.) In ΔAOB,
Sum of measures of all angles of a Δ is 180°.
Therefore,
OAB+AOB+OBA=180°
Therefore,
60°+x°+60°=180°
120°+x°=180°
x°=180°-120°
x°=60°
Vertically opposite angles are always congruent.
Therefore,
In ΔOBC,
OAB=OBC
x=y
60°=y
Therefore,
y=60°
c.) Measure of adjacent angles are always supplementary.
Therefore,
130°+x=180°
x=180°-130°
x=50°
(This measure i. e x=50° is the solution for A)
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