Question

Please help im confused

Answer 1

• m∠1 = 43°27'
• m∠2 = 136°33'
• m∠4 = 136°33'

Explanation:

Angles 1 and 3 are vertical angles, so are equal:

m∠1 = m∠3 = 43°27'

Angles 2 and 3 are a linear pair, so are supplementary:

m∠2 = 180° - m∠3 = 180° - 43°27' = 136°33'

Angles 2 and 4 are also vertical angles, so are equal:

m∠4 = m∠2 = 136°33'

_____

There are 60 minutes in a degree, so 180° is the same as 179°60'. Subtraction can proceed in the usual way after this rewrite:

180° - 43°27' = 179°60' -43°27'

= (179 -43)° +(60 -27)' = 136°33'