Question

Use the value of x to find themeasure of Angle 1.X = 25=21 = [?]° 22 = [ 1°5x - 52x + 10-

Answer 1

Step-by-step explanation:

`\begin{gathered} \text{The value of x = 25} \\ 5x\text{ - 5 and 2x + 10 are supplemenatary angles} \end{gathered}`

substitute for x in both angles given:

`\begin{gathered} 5x\text{ - 5 = 25 - 5} \\ 5x\text{ -5 =}5(25)\text{ - 5} \\ =\text{ 125 - 5} \\ \text{ =120}\degree \\ \angle1\text{ = }5x\text{ - 5} \\ \angle1\text{ =120}\degree \end{gathered}`
`\begin{gathered} \angle2\text{ = 2x + 10} \\ 2x\text{ + 10 = 2(25) + 10} \\ =\text{ }50\text{ + 10 } \\ \text{ = 60} \\ \angle2\text{ = 60}\degree \end{gathered}`