Use the image to answer the question.
An illustration shows three rays A, D, and C emerging from a point labeled B, forming a right angle at B. The right angle is divided into two parts by ray B D. The angles face leftward. Angle A B C measures 90 degree, angle A B D measures 4 x degrees, and angle D B C measures left parenthesis 7 x minus 9 right parenthesis degrees.
What is the equation for determining the angle measures?
its correct expect its the other way around so that makes it 7x-9 + 4x = 90
You are right, I apologize for the mistake. The correct equation for determining the angle measures would be:
(7x - 9)° + 4x° = 90°
The equation for determining the angle measures is:
Angle ABC = 90 degrees
Angle ABD = 4x degrees
Angle DBC = (7x - 9) degrees
but what would go with this (
)° + 4x° =
°
The equation for determining the angle measures would be:
(90°) + (4x°) = (7x - 9)°
thats incorrect though
Apologies for the incorrect response. Let me correct the equation:
Angle ABC = 90 degrees
Angle ABD = 4x degrees
Angle DBC = (7x - 9) degrees
To find the equation for determining the angle measures, we can use the fact that the sum of the angles in a triangle is always 180 degrees. In this case, the right angle at point B divides the triangle into two parts.
So, we have:
Angle ABC + Angle ABD + Angle DBC = 180 degrees
Substituting the given angle measures:
90 degrees + 4x degrees + (7x - 9) degrees = 180 degrees