Question

16. Given that Angle 1 and Angle 2 form a linear pair, find the measure of both angles if m<1 = (5x + 9)° and

m<2= (3x + 11).


x =
m<1 =
m<2=

Answer 1

Answer:
`x=20, m\angle 1=109^(\circ), m\angle 2=71^(\circ)`

Explanation:

Angles that form a linear pair add to 180 degrees, so:

`5x+9+3x+11=180\\\\8x+20=180\\\\8x=160\\\\x=20\\\\\implies m\angle 1=5(20)+9=109^(\circ)\\\\\implies m\angle 2=180^(\circ)-109^(\circ)=71^(\circ)`