4. Given: a // b Prove: Same Side Interior Angles are...

4. Given: a // b Prove: Same Side Interior Angles are Supp. STATEMENTS | REASONS 5. Given: a // b; ?2 and ?3 are supplementary Prove: Alternate Exterior Angles are Congruent STATEMENTS | REASONS 6. Given: a // b Prove: Corresponding Angles are Congruent STATEMENTS | REASONS

Transcript

00:01 Hi in the given problem we are given with two parallel lines a b so this is line a and this is line b and this is the transferal let's say this is a t transferal line so this angle is one this angle is three this angle is two now we have to prove that one angle one plus angle three is equal to 180 degree or they are on the same the they are supplementary so the interior angle at the same side of the transfer cell are supplemented this is what we have to prove now let's say there is another angle four so here angle one is equal to angle four because they are alternate angles they are alternate angles also angle three plus angle four is equal to 180 degrees because they are on the same line they are on the same line so from this and this so let's say this is two and two and and this is equation one so from one and two from one and two we get that angle three plus angle four which is equal to angle one angle one is equal to 180 degree so hence proved so we can say that the angle on the same side of the transfer is supplement or is equal to 180 degree so that's the answer for the first part now in the second part we are given with two parallel lines and there is a transfer cell so this is a this is b and this is transversal t now this angle is one and this angle is three and this angle over is 2 so we have to prove that angle 2 plus angle 3 is equal to 180 degree so let's say there is an angle another angle angle 4 now angle 3 is equal to angle 4 because they are supplementary angle or supplementary supplementary angles so sorry they are corresponding angles so angle so angle so angle three is equal to angle four because they are corresponding angle now angle two plus angle four is equal to 180 degree because they are on the same line on the same line so again this is equation two and this is equation one so from a one and two from one and two we get that angle 2 plus angle 3 is equal to 180 degree.

02:49 So that means angle 2 and angle 3 are supplementary to each other.

02:54 So that's the proof...

Question

4. Given: a // b Prove: Same Side Interior Angles are Supp. STATEMENTS | REASONS 5. Given: a // b; ?2 and ?3 are supplementary Prove: Alternate Exterior Angles are Congruent STATEMENTS | REASONS 6. Given: a // b Prove: Corresponding Angles are Congruent STATEMENTS | REASONS

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