state which lines, segments, or rays are parallel in these figures and state the postulate or theorem which proves them parallel.
1. this is an uneven rectangle D_________________________C
corner of D is 95 degrees, corner of C is 80 degrees, corner of A is 85 degrees and corner of B is 100 degrees
2. this is a rectangle H__________________________G
90 degrees 34 deg.
A line is drawn from H to F. At corner F the bottom left corner is 34 degrees, and the bottom right of corner F is 58 degrees.
At corner H, the top right corner is 34 degrees. Corner E is 90 degrees. Letter G is not labled with degrees.
A continuous lines connects P, L and J. A line connects L to O. A line connects J to N
Thank you :)
1. AB is parallel to CD
using consecutive interior angle theorem (converse), since the sum of <ABC and <BCD is 180 (100 + 80), the lines are parallel. We can check the same with <BAD + <ADC =180 also.
2. EF and GH are parallel to each other.
Using alternate interior angle theorem (converse), bottom left at F and top right angle at H are equal (to 34 degrees), proves that EF and GH are parallel.
3. LM and JK are parallel to each other
Using Corresponding angle postulate, the sum of corresponding angles <PLM (42+28 =70) is equal to <LJK (38+32 =70).