Question

Find the value of x in both of the problems

Answer 1

x = 127°

x = 36

Explanation:

For the question 5:

The sum of interior angles for the given geometrical figure is calculated with the following formula:

(s-2) × 180

• s is the number of sides/angles.

3 × 180 = 540

• Find the sum of all angles.

90 + 143 + 77 + 103 + x = 540

• Add like terms.

413 + x = 540

• Subtract 413 from both sides to isolate x.

x = 127°

For the question 6:

The given is a hexagon. The sum of its exterior angles is equal to 360.

• Find the sum of the given angles to find the value of x.

80 + 59 + 2x + 59 + 54 + x = 360

• Add them up.

252 + 3x = 360

• Subtract 252 from both sides to isolate x.

3x = 108

• Divide both sides by 3.

x = 36