yes
No, two lines would not be parallel if the consecutive interior angles measured 108 degrees and 74 degrees. Consecutive interior angles on parallel lines are always congruent, meaning they have the same measure. Therefore, if the consecutive interior angles have different measures, the lines cannot be parallel.
If the two lines that are being transversed are parallel, then the consecutive interior angles are equal to 180 degrees.
Consecutive interior angles are angles on the same side of the transverse that add up to 180 degrees.
When parallel lines are cut by a transversal, several angles are formed that have specific relationships. Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary (adding up to 180 degrees). These properties are fundamental in geometry and help in solving problems related to angle measures and relationships in parallel lines.
With a protractor - they can be 360 degrees you know!
There are 3 interior angles in a triangle that add up to 180 degrees and the 3 consecutive angles of 59, 60 and 61 degrees inside a scalene triangle add up to 180 degrees.
The 4 interior angles add up to 360 degrees
Each exterior angle is 30 degrees and each interior angle is 150 degrees
Yes. Two angles are suplementary if their sum is 180 degrees. All interior angles in a rectangle are 90 degrees, so any pair of these angles is supplementary.
The interior angles of a 15 sided polygon add up to 2340 degrees
The 10 interior angles of a decagon add up to 1440 degrees
Consider the trapezium (or trapezoid) ABCD such that AD is parallel to BC.Then angles DAB and ABC are consecutive interior angles (or co-interior angles) and sum to 180 deg.Similarly, angles ADC and DCB sum to 180 deg.Therefore, the sum of all four is 180 + 180 = 360 deg.