Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB 
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.
Hello there.
Which of the following is an unintended consequence of China's one-child policy?
Women are less likely to pursue higher education degrees.
For this case we have the following expression:
x ^ 2 + 15x + 56
We can factor this expression to find the possible dimensions of the rectangle.
Factoring we have:
(x + 7) (x + 8)
Answer:
the possible dimensions are:
(x + 7) * (x + 8)
Answer:
Therefore, the measure of angles x is 55°.
Step-by-step explanation:
From the given figure ,
105° is the exterior angle
x° and 50° are the two interior opposite angles to 105°
We know that
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles
⇛ x° + 50° = 105°
⇛ x° = 105°-50°
⇛ x° = 55°
Therefore , x = 55°
<u>Exterior</u><u> </u><u>Angle:</u><u>↓</u>
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.
Hope this helps!!
Sure buddy, will do that today
