Answer:
Step-by-step explanation:
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
∠ABD=∠BAD= ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD= ------> the sum of the internal angles of a triangle is equal to
Step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is
so
∠CBD=
Step 3
Find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC=
therefore
the answer is
the measure of the angle ∠ABC is
Yes because they both have the same degrees, but one is slightly rotated
Answer:
Step-by-step explanation:
Solve the following equation:
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-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:
-First equation:
-Second equation:
-Choose one of the two following equations, which I choose the first one, then you solve for 
by isolating
-Subtract 
to both sides:
-Subtract 
to both sides:
-Divide both sides by 
:
-Multiply 
by 
:
-Substitute 
for in the second equation, which is :
Multiply by 
:
-Combine like terms:
-Subtract 
to both sides:
-Multiply both sides by 
:
-After you have the value of 
, substitute for 
onto this equation, which is :
-Multiply 
and 
:
-Since both and 
have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:
