20 POINTS ! PLUS BRAINLIEST ANSWER


Give the sum of 2x -3 and 7x + 21
Find the measure of angle KMP
Find the measure of the complement of angle KMX

Photo is attached please give correct answers otherwise I will have to report the answer for false info and get my points back

20 POINTS PLUS BRAINLIEST ANSWER Give the sum of 2x 3 and 7x 21 Find the measure of angle KMP Find the measure of the complement of angle KMX Photo is attached class=

Respuesta :

Give the sum of 2x -3 and 7x + 21 
2x-3+7x+21
Add like terms:
9x+18

Find the measure of angle KMP
<KMX + <XMY = 180   (because they are on a line)
2x-3+7x+21=180
9x+18=180
9x=162
x= 18
<XMY and <KMP are vertical angles so they have the same angle measure. So find <XMY with x.
<XMY= 7x+21
<XMY= 7(18)+21
<XMY= 126+21 = 147 degrees
<XMY = <KMP = 147 degrees

First find <KMX to find the complement of it.
<KMX=2x-3
<KMX=2(18)-3
<KMX=36-3
<KMX=33
The complement of an angle is 90 degrees subtracted by the angle itself because complementary angles add up to 90 degrees.
90-33=57
The complement would have 57 degrees.

Answers : 
9x+18
147 degrees
57 degrees

Hope this helps :)

sum of 2x-3 and 7x+21
2x-3+7x+21
2x+7x-3+21
9x+18

since KY is a straight line, 2x-3+7x+21=180
9x+18=180
subtract 18
9x=162
divide 9
x=18
subsitute
2x-3
2(18)-3
36-3
33=KMX
other angle is
33+otherangle=180
otherangle=XMY=147
KMP=XMY=147

KMX=33
complement is what adds to 90
33+what=90
subtract 33
what=57
complement is 57 degrees










2x-3+7x+21=9x+18
KMP=147
complement of KMX=57