Question

6. The angles of a quadrilateral are (2x + 3), (36 + 7), (3x - 5)º and (2x + 11). Find the measure of each angle of the quadrilateral.​

Answer 1

Explanation:

According to sum theory

in a quadiratral

${:}\longrightarrow\mathscr (2x+3)+(36+7)+(3x-5)+(2x-11)=360$

${:}\longrightarrow\mathscr 2x+3+43+3x-5+2x-11=360$

${:}\longrightarrow\mathscr 2x+3x+2x+3+43-5+11=360$

${:}\longrightarrow\mathscr 7x+46+6=360$

${:}\longrightarrow\mathscr 7x+52=360$

${:}\longrightarrow\mathscr 7x=360-52$

${:}\longrightarrow\mathscr 7x=308$

${:}\longrightarrow\mathscr x=\dfrac {308}{7}$

${:}\longrightarrow\mathscr x=44$

Angles

(2x+3) = 2×44+3 = 91

(36+7) = 43

(3x-5) = 3×44-5 = 127

(2x+11) = 2×44+11 = 99