Answer:
what a fantastic day I would like
Step-by-step explanation:
uh oh is unavailable right now
Answer:
The answer to your question is 1 = 69°
Step-by-step explanation:
To solve this problem remember that the sum of the internal angles in a triangle equals 180°.
Let the third angle of the triangle be x.
39° + 30° + x = 180
Solve for x
x = 180 - 39 - 30
x = 111°
Angle x and angle 1 are supplementary so their sum equals 180°.
111° + 1 = 180
1 = 180 - 111
1 = 69°
Answer:
A. Similar using SAS; ∆ABC ~ ∆DFE
Step-by-step explanation:
m<B of ∆ABC = m<F of ∆DFE
AB corresponds to DF
AB/DF = 12/8 = 3/2
BC corresponds to FE
BC/FE = 24/16 = 3/2
Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.
By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE
Given:
The equation is:

To find:
The value of a.
Solution:
We have,

On simplification, we get




On comparing both sides, we get




And,




Therefore, the value of a is 2.