Question

62)
If angle 1 and angle 2 form linear pair such the measure of angle 1 = 3x+5deg. and the measure of angle 2 = 4x+35deg., find the measures of both angles.

a) 45 degrees & 135 degrees
b) 55 degrees & 125 degrees
c) 65 degrees & 115 degrees
d) 75 degrees & 105 degrees

Answer 1

i've never heard of a 'linear pair' is it this:

Answer 2

A linear pair is two adjacent angles that sum up to 180, so the equation is:

\(\Large \color{purple}{\rightarrow 3x + 5 + 4x + 35 = 180 }\)
\(\Large \color{purple}{\rightarrow 7x + 40 = 180 }\)
\(\Large \color{purple}{\rightarrow 7x = 140 }\)
\(\Large \color{purple}{\rightarrow x = 20 }\)

So, angle 1 is 3(20) + 5 = 65

and

angle 2 is 4(20) + 35 = 115

Answer 3

@cwrw238 Sure, two supplementary adjacent angles form a linear pair.

Answer 4

You get the answer as the option c.

Answer 5

right- thank you - never heard of that in uk schools