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# 3.08

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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.

°

Apr 12, 2018

### Best Answer

#1
+2

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°

Apr 12, 2018

### 2+0 Answers

#1
+2
Best Answer

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°

hectictar Apr 12, 2018
#2
+1

You should get more than 1 point here, hectictar....!!!   CPhill  Apr 12, 2018