1.) <1=25°, <2=155°, <4=155°
Two complementary angles: α,β
Definition of complementary angles:
α+β=90
β=4α
4α+α=90
5α=90 /:5
α=18
Measure of smallest angle is 18 degrees.
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

Rearrange into slope-intercept form:

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of
. Plug this into
:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

Plug in the given point (1,3) and solve for <em>b</em>:

Therefore, the y-intercept is
. Plug this back into
:

I hope this helps!