What are the measures of ∠1 and ∠2? Show your work or explain your answers.

<2 = 75

<1 =105

Step-by-step explanation:

<2 and 75 are corresponding angles and corresponding angles are equal when lines are parallel

<2 = 75

<1 and <2 are supplementary angles

<1+<2 = 180

<1 +75 = 180

<1 = 180-75

<1 =105

Angle 1: 105 Angle 2: 75

Step-by-step explanation:

The two parallel horizontal lines shown are going through the same line, so the angles will be the same. That means we already know that angle 2 is 75 degrees, and with that information, we can figure out the measure of angle 1. A 180-degree angle is a straight line, and 180 - 75 is equal to 105, which is the measure of angle 1!

I hope this helped you!

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb