Question

Two angles are supplementary. One angle is equal to x + 15 degrees. The other is 2x +3 degrees. What is the measure of x? one answer

Answer 1

Hey there!

=> x + 15 + 2x + 3 = 90°

=> x + 2x + 3 - 15 = 90°

=> 3x - 12 = 90°

=> 3x = 90° + 12

=> 3x = 102°

=>
`(3x)/(3) = (102)/(3)`

=>
`x = (102)/(3)`

=> x = 34

Then,

=> x + 15 , 2x + 3 {add the value of x}

=> (34) + 15, 2(34) + 3

=> 34 + 15, 68 + 3

=> 49,71

∴ the angles are 49 and 71

Answer 2

Answer: x = 54

Explanation:

Supplementary: two angles or arcs whose sum is 180 degrees.

One angle: x + 15 degrees

Second angle: 2x + 3 degrees.

180 degrees = 3x + 18

180 minus 18 = 162

162 divided by 3 = 54

x = 54