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

Mathematics

1 answer:

g100num [7]2 years ago

4 0

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,

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

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

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

$213 + 7x = 360$

$7x = 360 - 213$

$7x = 147$

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

$x = 21$

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Answer:

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Step-by-step explanation:

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