Two intersecting lines create four angles with the same vertex, labeled A, B, C, and D. Angle B is adjacent to LA and ZC. Find m LA if m LC = 75°. (1 point)
O 105°
75°
O 180°
O 15°
Since angle C is adjacent to both angle B and angle D, we can conclude that angle C must be equal to 180 degrees minus the sum of angles B and D.
Let's say angle B is equal to x. Therefore, angle D is also equal to x.
So, angle C = 180 - (x + x)
= 180 - 2x
Given that angle C is 75 degrees, we can set up the equation:
180 - 2x = 75
Solving for x:
2x = 180 - 75
2x = 105
x = 105/2
x = 52.5
Thus, angle B is equal to 52.5 degrees.
no
I apologize for the mistake in my previous response. Let's try again:
Since angle C is adjacent to both angle B and angle D, we can conclude that angle C must be equal to the sum of angles B and D.
Given that angle C is 75 degrees and angle D is 180 degrees, we can set up the equation:
75 = B + 180
Solving for B:
B = 75 - 180
B = -105
However, angles cannot have negative measures. Thus, there is no valid solution for angle B given the information provided in the question.
can u just pick one of the answers i gave u
Sure, based on the options provided, the closest answer would be:
75°