Question

The measure of angle of quardirateral (x-20) (x+20) (2x+5) (2x-5)

Answer 1

Answer:

60 degrees

Rule , in a quadrilatral, all sides add up to 360 degrees.

Answer 2

$\large\bf\underline{Given:-}$

• Measure of all angles of quadrilateral = (x - 20), (x+20), (2x+5) and (2x-5)

$\large\bf\underline {To \: find:-}$

• Angles of quadrilateral.

$\huge\bf\underline{Solution:-}$

Measure of all angles of quadrilateral = (x - 20), (x+20), (2x+5) and (2x-5)

Sum of all angles of quadrilateral = 360°

↣(x - 20) + (x+20) + (2x+5)+ (2x-5) = 360

↣ x + x + 2x + 2x + 20 - 20 + 5 - 5 = 360

↣6x = 360

↣x = 360/6

↣ x = 60°

Measure of all angles of quadrilateral :-

↣(x -20) = 60 - 20 = 40°

↣(x + 20) = 60 + 20 = 80°

↣(2x + 5) = 60 × 2 + 5 = 125°

↣(2x - 5) = 60 × 2 - 5 = 115°

hence,

Measure of all angles of quadrilateral are :-

• ≫ 40°
• ≫ 80°
• ≫ 125°
• ≫ 115°

Verification :-

sum of all angles of quadrilateral = 360°

» 40 + 80 + 125 + 115 = 360

» 360 = 360

LHS = RHS

hence measure of all angles of quadrilateral are correct.

$\rule{200}3$