Question

Math homework?
id love an explanation as well if thats possible. Thank-you!! c:

Answer 1

The opposite angles of a quadrilateral inscribed in a circle adds up to 180°.

This means that angles A and C add up to 180°, so do angles B and D.

Therefore, (x - 10) + (x - 2) = 180°

2x - 12 = 180°

2x = 192°

x = 96°

Hence,

Angle A = 96° - 10° = 86°

Angle B = 180° - (96° + 2°) = 82°

Angle C = 96° - 2° = 94°

Angle D = 96° + 2° = 98°