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°

Answer 2

Answer:

x = 96 degrees.

m < A = 86 degrees.

m < B = 82 degrees.

m < C = 94 degrees.

m < D = 98 degrees.

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral add up to 180 degrees, so

x - 10 + x - 2 = 180

2x = 180 + 10 + 2 = 192

x = 192/2

x = 96 degrees.

Therefore m <  A = 96-10 = 86 degrees.

and m <  C = 96 - 2 = 94 degrees.

Also m <  D = 96 + 2 = 98 degrees.

and  m < B = 180 - 98 = 82 degrees.