? of 72 = 45 (answer in fraction)
1 answer:
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we know that
The sum of the internal angles in the triangle must be degrees
see the attached figure with letters to better understand the problem
Step
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is
Step
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is
Step
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is
A point P on the line segment GK may be parametrically represented as
t is a real parameter which controls where on the segment P is. t=0 means P=G, t=1 means P=K. We're interested in the t that gives a 3:2 ratio for PG:PK. That's closer to K so t>1/2. t=3/(3+2) = 3/5.
Answer: (26/5, 8)