Angle 1 and angle 2 are a linear pair, and angle 2 and angle 3 are vertical angles. Measure of angle 1 = (3y + 10) degrees and measure of angle 3 = (5y - 30)degrees. What is the measure of angle 2?

Step-by-step explanation:

The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.

angle 1 + angle 2 = 180° ... 1

If two angles are vertical angles , this means that both angles are equal.  Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°

Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°

Substituting this angles into equation 1 to get the value of y;

(3y + 10)°+(5y - 30)° = 180°

3y+5y+10-30 = 180

8y-20 = 180

8y = 180+20

8y = 200

y = 200/8

y = 25°

To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°

angle 2 = 5(25) - 30

angle 2 = 125 - 30

angle 2 = 95°

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

360 different combinations