<h2>Explanation:</h2><h2></h2>
The diagram is missing but I'll assume that the arc BDC is:
And another arc, let's call it FGH. measures:
If those arc are equal, then this equation is true:
Substituting k into the first equation:
Distance Formula Which statement is true about quadrilateral QRST? Side QR has a length of 5 units. Side RS has a length of unit
2 answers:
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The value of x is 120°
Explanation:
It is given that ABC is a straight line.
Also, ∠CBE = 20° and ∠CAF = 40°
We need to determine the value of ∠DBE
Let ∠DBE = x
Since, ∠CAF and ∠ABD are alternate interior angles.
By the alternate interior angles theorem, "if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal".
Thus, ∠CAF and ∠ABD are equal.
Hence, ∠CAF = ∠ABD = 40°
Since, we know that, the angles in a straight line add up to 180°, we have,
∠ABD + ∠DBE + ∠CBE = 180°
Substituting the values, we get,
40° + x + 20° = 180°
Adding, we have,
60° + x = 180°
Subtracting both sides by 60, we have,
x = 120°
Thus, the value of x is 120°
