8a. The ratio of the measures of a pair of adjacent angles on a line is 4∶5. Find the measures of the two angles. What is the measure of the smaller angle. *

Please answer ASAP
:)

The length of the smaller angle is 80°. Longer angle = 100°

Step-by-step explanation:

Ratio of two  adjacent angles = 4:5

Let the two angles be 4x and 5x.

Property of adjacent angles -

Two adjacent angles are supplementary.

Any two pair of adjacent will sum up to 180°.

Going by the property we get the equation -

we got the value of x =20

Getting the angles 4x and 5x

 ⇒ 100 °

⇒ 80 °

The length of the smaller angle is 80 °. and Longer angle = 100°

c. (3,2,6) is the answer.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)