Respuesta :
Answer:
125 degrees and 55 degrees
Step-by-step explanation:
The measure of one of the angle is 55 degrees and the other angle is 125 degrees and this can be determined by using the side angle theorem.
Given :
The same side interior angle of two parallel lines is 70° greater than the other same side interior angle.
The following steps can be used in order to determine the measures of these two angles:
Step 1 - Let the one angle be 'x' then according to the given data the other angle is (x + 70).
Step 2 - The angles are supplementary or equal to 180 degrees according to the same side angle theorem.
Step 3 - So, the measure of angle 'x' is given by:
x + x + 70 = 180
2x + 70 = 180
2x = 110
x = 55 degrees
Step 4 - The measure of the other angle which is (x + 70) is:
x + 70 = 55 + 70
= 125 degrees
So, the measure of one of the angle is 55 degrees and the other angle is 125 degrees.
For more information, refer to the link given below:
https://brainly.com/question/24006293
