Question

Find the sum of x in the Interior and Exterior Angles with working please asap?

Answer 1

Answer:

7) x= 80°

Step-by-step explanation:

The sum of angles in a triangle is 180 °. This means that the sum of angles in a six sided polygon is equal to 4 × 180° that is 720°

so all the angles in the polygon should add up to 720

let the angle in the polygon which is not given be y

140 + 140 +140 +140 +60 + y ---> 620 + y

620 + y =720

therefore y = 100°

and as we know angle on a straight line is always 180°

x + y = 180

x + 100 = 180

x = 80 degrees

Answer 2

Solution :-

we know that,

• Sum of all interior angles of a polygon = (n - 2) * 180°

2)

→ 120 + 80° + 80° + interior angle = (4 - 2) * 180°

→ 280° + interior angle = 360°

→ interior angle = 360° - 280°

→ interior angle = 80°

So,

→ x + interior angle = 180°

→ x = 180° - 80° = 100°

10)

→ 150° + 150° + 90° + 90° + interior angle + interior angle = (6 - 2) * 180

→ 480° + 2 * interior angle = 720°

→ 2 * interior angle = 720° - 480°

→ 2 * interior angle = 240°

→ interior angle = 120°

So,

→ x + interior angle = 180°

→ x = 180° - 120° = 60°

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