Question

∠1 and ∠2 are supplementary angles.m∠1=4x+3m∠2=3x−5What is the value of x? x=92/7x = 178x = 26x=178/7

Answer 1

Supplementary angles add up to 180°. Then if we add the measures of angles <1 and <2 we should get 180°, like this:

m<1 + m<2 = 180

By replacing 4x + 3 for m<1 and 3x - 5 for m<2 into the above equation, we get:

(4x + 3) + (3x - 5) = 180

4x + 3 + 3x - 5 = 180

4x + 3x + 3 - 5 = 180

7x - 2 = 180

7x = 180 + 2

7x = 182

x = 182/7 = 26

Then, x equals 26, the third option is the correct answer