Need help. Am giving max points

Question

asked Nov 12, 2024 156k views

1 Answer

Andrew Nguonly · Answer 1 · 2024-11-18T20:27:20+0000

Answer:

$\sf \textsf{ Equation: } (2)/(5)x + x + 30^\circ + x + (3)/(5)x = 360^\circ$

x = 110°

Explanation:

In order to find x in the equation representing the sum of angles in a quadrilateral,we can write and solve the equation as follows:

Equation:

$\sf (2)/(5)x + x + 30^\circ + x + (3)/(5)x = 360^\circ$

Now, combine like terms:

$\sf (2)/(5)x+ (3)/(5)x + x + x + 30^\circ = 360^\circ$

Simplify the fractions:

$\sf (2+3)/(5)x + x + x + 30^\circ = 360^\circ$

$\sf x + x + x + 30^\circ = 360^\circ$

Combine the x terms:

$\sf 3x + 30^\circ = 360^\circ$

Next, subtract 30° from both sides of the equation:

$\sf 3x = 360^\circ - 30^\circ$

$\sf 3x = 330^\circ$

Divide both sides by 3.

$\sf x = (330^\circ)/(3)$

$\sf x =110^\circ$

Therefore, x = 110°.