Answer:
Step-by-step explanation:
Suppose we have a general triangle like the one shown in the figure.
We know the angle A, the angle B and the length b.

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.
So

We solve the equation and thus we find the angle C.

We already know the three triangle angles.
Now we use the sine theorem to calculate the sides c and a.
The sine theorem says that:

Then



Also



Finally, we use the Heron formula to calculate the triangle area

Where s is:

Therefore



Answer:
AAS
Step-by-step explanation:
First, write down the given.
1. ∠V≅∠Y - Given
Since line WZ bisects ∠YWZ, which in other words splits it in half, that means that
2. ∠VWZ ≅ ∠YWZ - angle bisector
3. WZ ≅ ZW - reflexive property
Making the theorem AAS
X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.