Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
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So we can only find x if other two angles of triangle is given.
In angle B as u can see boxed shape angle is there then it probably means it's a 90° angle.
We know sum of angles of triangle = 180°
{Reson :-
There's a formula to fund sum of angles of figure
- (n-2) × 180
- (3 -2) × 180
- 1 × 180
- 180°
}
Now Let's proceed

Fill all the given values








Value of x = 35°
~BrainlyVIP ⸙
Answer:
x = (y+w)/k
Step-by-step explanation:
xk-w=y
Add w to each side
xk-w+w=y+w
xk = y+w
Divide each side by k
xk/k = (y+w)/k
x = (y+w)/k
Answer:
44
Step-by-step explanation:
4,497,000,000 = <span>4.497 x 10^9</span>