Question

ans with Step by step explanation.​

Answer 1

Answer:

x=5

Step-by-step explanation:

1x+3x+200=180

4x+200=180

200-180=4x

20=4x

20/4=x

5=x

x=5

Answer 2

Let x be the smaller of the two angles that are in the ratio 1:3

Then,

$\frac{x}{other\:angle} =\frac{1}{3}\\\\\implies other\:angle = 3x$

Given, that x+3x = 200°

⇒ 4x = 200°

⇒ x = 50°

⇒ 3x = 150°

Let the other two equal angles of the quadrilateral be equal to y

Then, by angle sum property of a quadrilateral,

x + 3x + y + y = 360°

⇒ 4x + 2y = 360°

⇒ 2y = 360°-4×50°

⇒ 2y = 160°

⇒ y = 80°

∴Therefore, the angles are 50°, 150°, 80°, and 80°