Two straight pipes intersect under a circular garden and intercept non-adjacent arcs that measure 34 degrees and 108 degrees. What is the measure of the acute vertical angles formed where the two pipes intersect?
Two straight pipes intersects under a circular garden and intercept non-adjacent arcs that measure 34 degrees and 48 degrees.what is the measure of the acute vertical angles form where the two pipes intersects
Two straight pipes intersect under a circular garden and intercept non-adjacent arcs that measure 38° and 40°
What is the measure of the obtuse vertical angles formed where the two pipes intersect
Robelyn Question this is the answer:
38°+40°=39°
Divide 2
180°-39°=141°
To find the measure of the acute vertical angles formed by the intersection of the two straight pipes, we can use the fact that vertical angles are congruent. This means that the measures of the vertical angles are equal.
Since the given arcs intercepted by the pipes are non-adjacent, they form vertical angles at their intersection point. The measure of one of the arcs is 34 degrees and the measure of the other arc is 108 degrees.
To find the measure of the acute vertical angles, we need to determine the measure of the smaller arc, as the acute angles will be formed by this arc.
To find the smaller arc, we subtract the larger arc from the sum of the two arcs:
Smaller arc = Sum of the two arcs - Larger arc
= (34 degrees + 108 degrees) - 108 degrees
= 142 degrees - 108 degrees
= 34 degrees
Therefore, the measure of the smaller arc is 34 degrees, which means that the measure of the acute vertical angles formed by the intersection of the two pipes is also 34 degrees.