Question

List the names and measures for pairs of same-side interior angles. Then find the sum of the measures for each pair. What is the relation between each pair of same-side interior angles? Describe the relationship between these pairs using geometric terms.

Answer 1

The two pairs of same-side interior angles are CHG and HGA and DHG and HGB.

mCHG = 48.81°, and m HGA = 131.19°.

mDHG = 131.19°, and m HGB = 48.81°.

mCHG + mHGA = 180°

mDHG + mHGB = 180°

Each pair of same-side interior angles is supplementary.

Explanation:

Plato answer

Answer 2

Answer and Step-by-step explanation:

Same side interior angles are angles that are on the same side of a transversal

Please find the diagram attached

Same side interior angles are also in the interior of the parallel lines where they form their angles(as is seen in the diagram attached)

Angle a for instance is an interior angle pairing with angle b along the transversal l. Angle t is an interior angle pairing with angle z along the transversal l

Sum of interior angles cut by a tranversal here is supplementary and therefore add up to 180 degrees such that angle a + angle b is 180 degrees like wise angle t + angle z =180 degrees

Same side interior angles in Parallel lines are supplementary if cut by a transversal