+284 2. picture https://static.k12.com/nextgen_media/assets/8093647-NG_GMT_V_04_U10_Quiz_05.png
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A= °
3. picture https://static.k12.com/nextgen_media/assets/8093648-NG_GMT_V_04_U10_Quiz_08.png
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B= °
4. picture https://static.k12.com/nextgen_media/assets/8093649-NG_GMT_V_04_U10_Quiz_11.png
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box.
°
5. picture https://static.k12.com/nextgen_media/assets/8093635-NG_GMT_V_04_U10_Quiz_13.png
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
°
+9466 2.
m∠A + m∠C = 180°
(2x + 9)° + (3x + 1)° = 180°
2x + 9 + 3x + 1 = 180
5x + 10 = 180
5x = 170
x = 34
m∠A = (2x + 9)°
m∠A = (2(34) + 9)°
m∠A = (68 + 9)°
m∠A = 77°
3.
m∠B + m∠D = 180°
(4x - 20)° + x° = 180°
4x - 20 + x = 180
5x - 20 = 180
5x = 200
x = 40
m∠B + m∠D = 180°
m∠B + 40° = 180°
m∠B = 140°
4.
m∠D + m∠B = 180°
x° + 148° = 180°
x° = 180° - 148°
x° = 32°
x = 32
m∠A = (2x + 1)°
m∠A = (2(32) + 1)°
m∠A = 65°
5.
m∠B + m∠D = 180°
(x + 10)° + (x + 24)° = 180°
x + 10 + x + 24 = 180
2x + 34 = 180
2x = 146
x = 73
m∠A + m∠C = 180°
(x + 15)° + m∠C = 180°
(73 + 15)° + m∠C = 180°
88° + m∠C = 180°
m∠C = 180° - 88°
m∠C = 92°
+9466 2.
m∠A + m∠C = 180°
(2x + 9)° + (3x + 1)° = 180°
2x + 9 + 3x + 1 = 180
5x + 10 = 180
5x = 170
x = 34
m∠A = (2x + 9)°
m∠A = (2(34) + 9)°
m∠A = (68 + 9)°
m∠A = 77°
3.
m∠B + m∠D = 180°
(4x - 20)° + x° = 180°
4x - 20 + x = 180
5x - 20 = 180
5x = 200
x = 40
m∠B + m∠D = 180°
m∠B + 40° = 180°
m∠B = 140°
4.
m∠D + m∠B = 180°
x° + 148° = 180°
x° = 180° - 148°
x° = 32°
x = 32
m∠A = (2x + 1)°
m∠A = (2(32) + 1)°
m∠A = 65°
5.
m∠B + m∠D = 180°
(x + 10)° + (x + 24)° = 180°
x + 10 + x + 24 = 180
2x + 34 = 180
2x = 146
x = 73
m∠A + m∠C = 180°
(x + 15)° + m∠C = 180°
(73 + 15)° + m∠C = 180°
88° + m∠C = 180°
m∠C = 180° - 88°
m∠C = 92°
