Question

Two angles are supplementary.
Angle #1 equals 3x - 10
Angle #2 equals 8x + 25
write an equation and solve for x
what is the measure of angle #1 and #2?

thank you!

Answer 1

Answer:

3x-10+8x+25=180 is the equation to find x value

Step-by-step explanation:

$3x - 10 + 8x + 25 = 180 \\11x + 15 = 180 \\ 11x = 180 - 15 \\ 11x = 165 \\ x = \frac{165}{11} \\ x = 15$

so substitute x=15 in both the angles

$3(15) - 10 \\ 45 - 10 = 35$

$8(15) + 25 \\ 120 + 25 = 145$

therefore the angles are 35 and 145

Answer 2

Answer:

add the to equations and equate them to 180 ,

we will get that x = 15 therefore the two angles are 35 and 145