Line a is parallel tо lіnе b, m<6=85, and m<3= 2х. Find m<1.

105

85

90

95

The measure of ∠1 is 95°

Solution:

Given a || b.

m∠6 = 85° and m∠3 = 2x°

∠6 and ∠3 are co-interior angles.

Co-interior angles add up to 180°.

⇒ m∠6 + m∠3 = 180°

⇒ 85° + 2x° = 180°

Subtract 85° from both sides.

⇒ 2x° = 95°

⇒ m∠3 = 95°

If two lines cut each other, then vertically opposite angles are congruent.

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Hence the measure of ∠1 is 95°.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

can you put the picture up?

step-by-step explanation: