Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
If two angles are supplementary, then their measures add up to 180 degrees.
Let's set up an equation:
m∠ACB + m∠BCD = 180
Substitute the given measures:
4x + (6x + 50) = 180
Combine like terms:
10x + 50 = 180
Subtract 50 from both sides:
10x = 130
Divide both sides by 10:
x = 13
Substitute this value back into the equation for m∠ACB:
m∠ACB = 4x = 4(13) = 52
Therefore, the measure of ∠ACB is 52 degrees.
Which angle is a vertical angle with ∠5 ? (1 point)
In order to determine which angle is a vertical angle with ∠5, we need to know the specific angles involved. Vertical angles are formed when two lines intersect. The angles that are opposite each other at the point of intersection are called vertical angles, and they have equal measures.
Without knowing the specific angles or the diagram, we cannot determine which angle is a vertical angle with ∠5.