Question

9) The anges of a quadrilateral are 2°.(2-20)°.(2x+60)°, 4x®
Find all the angles of the quadrilateral.​

Answer 1

Answer:

The sum of angles of a quadrilateral is equals to 360 degree .

hence the angles of the given quadrilateral must sum up to give 360 .

Hence, adding all the angles with variable X we can obtain as follows :-

\begin{gathered}x + 20 + x - 20 + 2x + 5 + 2x - 5 = 360 \\ \\ \\ \\ x + x + 2x + 2x = 360 \\ \\ \\ \\ 6x = 360 \\ \\ \\ x = \frac{360}{6} \\ \\ \\x = 60\end{gathered}

x+20+x−20+2x+5+2x−5=360

x+x+2x+2x=360

6x=360

x=

6

360

x=60

hence, we got x is equals to 60 degrees and putting the value of x in the variable equations given for each angle we can obtain as follows :-

\begin{gathered}x + 20 = 60 + 20 = 80 \\ \\ x - 20 = 60 - 20 = 40 \\ \\ \\ 2x - 5 = 120 - 5 = 115 \\ \\ \\ 2x + 5 = 120 + 5 = 125\end{gathered}

x+20=60+20=80

x−20=60−20=40

2x−5=120−5=115

2x+5=120+5=125

these are the four angles of the quadrilateral given .