∠1 and ∠2 form a linear pair. If m∠1 = 3x - 8 and m∠2 = 5x + 4, find the measure of each angle. The diagram is not to scale.

2 answers

a linear pair sums to a straight angle. So, you need

3x-8 + 5x+4 = 180

Solve for x, and use that to get the angle measures.
Add like terms:3x+5x=8x,-8+4=-4

you get, 8x-4=180

add 4 to both sides

8x=184

divide

x=23

sub in answers

3*23-8=61

5*23+4=119

add them together

119+61=180
Similar Questions
  1. Question 3(Multiple Choice Worth 1 points)(01.06 LC) Which of the following statements best describes a linear pair? A linear
    1. answers icon 1 answer
  2. What is the converse of the following conditional statement?"If two angles form a linear pair, then they are supplementary
    1. answers icon 1 answer
    1. answers icon 1 answer
  3. Given: <2 = <4, m<2 = 110Proof: m<3 = 70 <2 = <4, m<2 = 110 Given m<2 = m<4 Definition of congruent angles m<4 = 110 b._______
    1. answers icon 1 answer
more similar questions