Find the measure of angle DBC.
D=X^2+1
A=2x+3x-2
C=4x+3
This is the only question I do not know for my homework ,I just don't understand it. PLEASEE Explain Step By Step .
I believe there should be a given figure in the problem...?
To find the measure of angle DBC, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
Let's start by setting up the equation using the given angle measures:
D + B + C = 180
Next, we substitute the expressions given for each angle:
(X^2 + 1) + B + (4X + 3) = 180
Now, let's solve the equation for B.
Combine like terms:
X^2 + 4X + B + 4 = 180
Rearrange the terms:
B = 180 - (X^2 + 4X + 4)
Simplify the right side:
B = 180 - (X + 2)^2
So, the measure of angle DBC is given by the expression B = 180 - (X + 2)^2.