find the value of X please no spam
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2
Answer:
35°
Step-by-step explanation:
In ∆AOC,
AO = CO (radii of the same circle)
So,
angle OAC = angle OCA (angles opposite to equal sides of a triangle are equal)
Since it is given that, angle OAC is x ,
we find that, angle OCA is also x .
In ∆AOC,
angle OAC + angle OCA + angle COA = 180°. (angle sum property)
That is,
x + x + angle COA = 180°.
2x + angle COA = 180°.
So,
angle COA = 180° - 2x. -----(1)
Also,
angle COA + angle AOB = 180°. (supplementary angles)
From (1),
(180° - 2x) + 70° = 180°.
70° - 2x = 0°.
2x = 70°.
x = 70°/2 = 35°
Therefore,
Value of 'x' is 35°.
Answered by
22
X=35°
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