Question

Can you solve this ? Solve the x And get Angle 1 :And Angle 2 :Question 17

Answer 1

Solve for the value of x using supplementary angles

If the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together.

`\begin{gathered} <1=4x-5 \\ <2=x \end{gathered}`

To solve using the supplementary angle rule

Add the two angles together

`\begin{gathered} <1+<2=180^0 \\ 4x-5+x=180 \\ collect\text{ like terms} \\ 4x+x=180+5 \\ 5x=185 \end{gathered}`

Divide both side by 5

`\begin{gathered} 5x=185 \\ (5x)/(5)=(185)/(5) \\ x=37 \end{gathered}`

Hence the value of x = 37 degree

The measure of Angle 1 = <1 = 4x-5 = 4(37) - 5 = 143 degree

The measure of Angle 2 = <2 = x = 37 degree