Question

L || m

Find m3 if m5 = 38° and m6 = 62°.
38°
62°
80°
100°

Answer 1

the answer for this question is 62 degrees

Answer 2

`m_3 =80^(\circ)`

Explanation:

Given :
`m_5 =38^(\circ)`

`m_6 =62^(\circ)`

To Find :
`m_3`

Solution:

`m_5 + m_6 +m_7=180^(\circ)` (sum of linear pairs is 180°)

`38^(\circ)+62^(\circ)+m_7=180^(\circ)`

`100+m_7=180`

`m_7=80^(\circ)`

Now to find
`m_3`

`m_3 =m_7` (Alternate interior angles)

So,
`m_3 =m_7 =80^(\circ)`

So, Option C is correct.

Hence
`m_3 =80^(\circ)`