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2 answers:
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Answer:
a) x = 492/738
b) m<p = 39°
m<n = 141°
Step-by-step explanation:
Find the diagram attached
a) The sum of angle on the straight line l is 180degrees
m<n + m<p = 180 degrees
Given
<p = 21x+25
<n = (675x-27)/3
Substitute the given values into the formula
(675x-27)/3 + 21x+25= 180
[(675x-27+3(21x+25))]/3 = 180
675x-27+63x +75 = 180*3
675x+63x-27+75 = 540
738x+48 = 540
738x = 540 - 48
738x = 492
x = 492/738
b) m<p = 21x+25
m<p = 21(492/738) + 25
m<p = 14+25
m<p = 39°
Recall that m<p + m<n = 180
m<n = 180-m<p
m<n = 180 -39
m<n = 141°
