Question

Find the value of x 85 (X + 37) (6x + 22) 69

Answer 1

Answer:

x = 21°

The angles of the quadrilateral are:

• 85°
• 58°
• 148°
• 69°

Step-by-step explaination:

The above figure is a quadrilateral.

Hence, the angle sum of the shape is 360°.

Therefore,

$85 + (x + 37) +69 + (6x + 22) = 360$

$85 + x + 37 + 69 + 6x + 22 = 360$

$(85 + 37 + 69 + 22) + (x + 6x) = 360$

$213 + 7x = 360$

$7x = 360 - 213$

$7x = 147$

$x = \frac{147}{7}$

$x = 21$