Question

Given: a||b, m∠ 6=128° Find: m∠1, m∠3

Answer 1

Answer:

m∠1 = 52°

m∠3 = 52°

Step-by-step explanation:

Step 1:

Since b is a straight line and is transversed by line m and we are given m∠6 = 128°, we can find m∠5, which is 180 - m∠6, giving us 52° for ∠5.

Step 2:

Because a and b are parallel, m∠5 and the m∠1 are the same, so we have m∠1 = 52° as one of our answers needed

Step 3: Because ∠3 is vertical to ∠1, we can use the vertical angles theory and say that m∠1 is equal to m∠3. Therefore, m∠3 = 52°