Question

Find the unknown in each of the following figures.

Answer 1

Answer:

x = 80°

2x = 160°

Step-by-step explanation:

Here,

85° + x° + 35° + (2x)° = 360° [ Since, Full Angle*]

⇒85° + 35° + x° + (2x)° = 360°

⇒120 + 3x° = 360°

⇒3x° = 360° - 120°

⇒x° = 240°/3

⇒x° = 80°

The unknown angles are :

• x = 80°
• 2x = 80° × 2 = 160°

*The measure of all the angle of a full angle is 360°.

Answer 2

the sum of all angles is 360 degree..

so,

2x + 85 degree + 35 degree + X = 360 degree

120 degree + 3X = 360 degree

X = 360 - 120 = 240

X = 240/3

x= 80..

• X = 80
• 2x = 2 * 80 = 160